4x+7=2(x-7)

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Solution for 4x+7=2(x-7) equation:


Simplifying
4x + 7 = 2(x + -7)

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

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

Solving
7 + 4x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 4x + -2x = -14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
7 + 2x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 2x = -14 + 0
7 + 2x = -14

Add '-7' to each side of the equation.
7 + -7 + 2x = -14 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = -14 + -7
2x = -14 + -7

Combine like terms: -14 + -7 = -21
2x = -21

Divide each side by '2'.
x = -10.5

Simplifying
x = -10.5

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