2(2x-7)=5x+8

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Solution for 2(2x-7)=5x+8 equation:


Simplifying
2(2x + -7) = 5x + 8

Reorder the terms:
2(-7 + 2x) = 5x + 8
(-7 * 2 + 2x * 2) = 5x + 8
(-14 + 4x) = 5x + 8

Reorder the terms:
-14 + 4x = 8 + 5x

Solving
-14 + 4x = 8 + 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.
-14 + 4x + -5x = 8 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-14 + -1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -1x = 8 + 0
-14 + -1x = 8

Add '14' to each side of the equation.
-14 + 14 + -1x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 8 + 14
-1x = 8 + 14

Combine like terms: 8 + 14 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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