7x+2(x-4)=5x+20

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Solution for 7x+2(x-4)=5x+20 equation:


Simplifying
7x + 2(x + -4) = 5x + 20

Reorder the terms:
7x + 2(-4 + x) = 5x + 20
7x + (-4 * 2 + x * 2) = 5x + 20
7x + (-8 + 2x) = 5x + 20

Reorder the terms:
-8 + 7x + 2x = 5x + 20

Combine like terms: 7x + 2x = 9x
-8 + 9x = 5x + 20

Reorder the terms:
-8 + 9x = 20 + 5x

Solving
-8 + 9x = 20 + 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 + 9x + -5x = 20 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-8 + 4x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 4x = 20 + 0
-8 + 4x = 20

Add '8' to each side of the equation.
-8 + 8 + 4x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 20 + 8
4x = 20 + 8

Combine like terms: 20 + 8 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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