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

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


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

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

Reorder the terms:
4 + 2x = 8 + 8x + -7(-2 + x)
4 + 2x = 8 + 8x + (-2 * -7 + x * -7)
4 + 2x = 8 + 8x + (14 + -7x)

Reorder the terms:
4 + 2x = 8 + 14 + 8x + -7x

Combine like terms: 8 + 14 = 22
4 + 2x = 22 + 8x + -7x

Combine like terms: 8x + -7x = 1x
4 + 2x = 22 + 1x

Solving
4 + 2x = 22 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 22 + 1x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = 22 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + 1x = 22 + 0
4 + 1x = 22

Add '-4' to each side of the equation.
4 + -4 + 1x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 22 + -4
1x = 22 + -4

Combine like terms: 22 + -4 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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