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

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


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

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

Reorder the terms:
14 + 4x = -5 + 7x

Solving
14 + 4x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
14 + 4x + -7x = -5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
14 + -3x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
14 + -3x = -5 + 0
14 + -3x = -5

Add '-14' to each side of the equation.
14 + -14 + -3x = -5 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -5 + -14
-3x = -5 + -14

Combine like terms: -5 + -14 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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