2(3x-8)=5x+7

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Solution for 2(3x-8)=5x+7 equation:


Simplifying
2(3x + -8) = 5x + 7

Reorder the terms:
2(-8 + 3x) = 5x + 7
(-8 * 2 + 3x * 2) = 5x + 7
(-16 + 6x) = 5x + 7

Reorder the terms:
-16 + 6x = 7 + 5x

Solving
-16 + 6x = 7 + 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.
-16 + 6x + -5x = 7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-16 + 1x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 1x = 7 + 0
-16 + 1x = 7

Add '16' to each side of the equation.
-16 + 16 + 1x = 7 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = 7 + 16
1x = 7 + 16

Combine like terms: 7 + 16 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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