2(x+8)=5x+7

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


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

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

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

Solving
16 + 2x = 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 + 2x + -5x = 7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
16 + -3x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -3x = 7 + 0
16 + -3x = 7

Add '-16' to each side of the equation.
16 + -16 + -3x = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 7 + -16
-3x = 7 + -16

Combine like terms: 7 + -16 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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