# Multi-Step Equations with Like Terms

Multi-step equations with like terms form a fundamental aspect of algebraic problem-solving. In algebra, equations involving multiple steps and like terms require systematic manipulation to isolate the variable. By breaking down complex equations into manageable steps, learners can systematically apply inverse operations to both sides of the equation, ultimately arriving at the solution. Like terms, characterized by identical variables with corresponding exponents, simplify the equation-solving process. Mastery of multi-step equations with like terms enhances problem-solving skills, laying a solid foundation for more advanced algebraic concepts and real-world applications.

Questions

- How do you solve #x^2 - 21 = 3(5 - x^2)#?
- How do you solve #8x - 5x = 15 #?
- How do you solve #14 + 5n = -4n + 17 #?
- How do you solve #2/3x+5/6=7/8x-1/2#?
- How do you solve #4x-(2x+3)=7#?
- How do you solve #1.5x + 0.25 = 1.6x#?
- How do you solve m+0.15m=97.75?
- How do you solve #2/5x=3# by clearing the fractions?
- How do you solve #2(3-x)=16(x+1)#?
- How do you solve #8x − 10 + 18 = 24#?
- How do you solve #-0.6y-9.3=1.206#?
- How do you simplify #-n + 24= 5( - 6n - 1)#?
- Solve for #x#: #16*4^(x+2) - 16*2^(x+1) + 1 = 0#?
- How do you solve #-3/5b+7+2/5b=19#?
- How do you solve #4(x − 1) − (x + 6) =2#?
- How do you simplify #x+3(x+4)=20#?
- Carlos is 8 years older than Maria. 4 years ago maria was two thirds as old as Carols. How old are they?
- Thu is six years older then her brother Tuan. The sum of their ages is 48. What are their ages?
- How do you solve this? #4^x=2^(x-1)-8#
- How do you solve #-4y - 7= - 9y + 8#?