5x-16=2(2x-1)-7

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Solution for 5x-16=2(2x-1)-7 equation:


Simplifying
5x + -16 = 2(2x + -1) + -7

Reorder the terms:
-16 + 5x = 2(2x + -1) + -7

Reorder the terms:
-16 + 5x = 2(-1 + 2x) + -7
-16 + 5x = (-1 * 2 + 2x * 2) + -7
-16 + 5x = (-2 + 4x) + -7

Reorder the terms:
-16 + 5x = -2 + -7 + 4x

Combine like terms: -2 + -7 = -9
-16 + 5x = -9 + 4x

Solving
-16 + 5x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 5x + -4x = -9 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-16 + 1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 1x = -9 + 0
-16 + 1x = -9

Add '16' to each side of the equation.
-16 + 16 + 1x = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -9 + 16
1x = -9 + 16

Combine like terms: -9 + 16 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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