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

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


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

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

Remove parenthesis around (4 + x)
4 + x = 2(x + -7)

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

Solving
4 + x = -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.
4 + x + -2x = -14 + 2x + -2x

Combine like terms: x + -2x = -1x
4 + -1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -1x = -14 + 0
4 + -1x = -14

Add '-4' to each side of the equation.
4 + -4 + -1x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -14 + -4
-1x = -14 + -4

Combine like terms: -14 + -4 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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