4(x-1)+7=2x+2(1-x)

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Solution for 4(x-1)+7=2x+2(1-x) equation:


Simplifying
4(x + -1) + 7 = 2x + 2(1 + -1x)

Reorder the terms:
4(-1 + x) + 7 = 2x + 2(1 + -1x)
(-1 * 4 + x * 4) + 7 = 2x + 2(1 + -1x)
(-4 + 4x) + 7 = 2x + 2(1 + -1x)

Reorder the terms:
-4 + 7 + 4x = 2x + 2(1 + -1x)

Combine like terms: -4 + 7 = 3
3 + 4x = 2x + 2(1 + -1x)
3 + 4x = 2x + (1 * 2 + -1x * 2)
3 + 4x = 2x + (2 + -2x)

Reorder the terms:
3 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = 2 + 0
3 + 4x = 2

Solving
3 + 4x = 2

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 2 + -3
4x = 2 + -3

Combine like terms: 2 + -3 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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