7x-8=3(x+2)+2x

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Solution for 7x-8=3(x+2)+2x equation:


Simplifying
7x + -8 = 3(x + 2) + 2x

Reorder the terms:
-8 + 7x = 3(x + 2) + 2x

Reorder the terms:
-8 + 7x = 3(2 + x) + 2x
-8 + 7x = (2 * 3 + x * 3) + 2x
-8 + 7x = (6 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-8 + 7x = 6 + 5x

Solving
-8 + 7x = 6 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-8 + 7x + -5x = 6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-8 + 2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 2x = 6 + 0
-8 + 2x = 6

Add '8' to each side of the equation.
-8 + 8 + 2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 6 + 8
2x = 6 + 8

Combine like terms: 6 + 8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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