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

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


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

Reorder the terms:
2(4 + 4x) = 7(x + -2)
(4 * 2 + 4x * 2) = 7(x + -2)
(8 + 8x) = 7(x + -2)

Reorder the terms:
8 + 8x = 7(-2 + x)
8 + 8x = (-2 * 7 + x * 7)
8 + 8x = (-14 + 7x)

Solving
8 + 8x = -14 + 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.
8 + 8x + -7x = -14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
8 + 1x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 1x = -14 + 0
8 + 1x = -14

Add '-8' to each side of the equation.
8 + -8 + 1x = -14 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -14 + -8
1x = -14 + -8

Combine like terms: -14 + -8 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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