7-3x=x-4(2-x)

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Solution for 7-3x=x-4(2-x) equation:


Simplifying
7 + -3x = x + -4(2 + -1x)
7 + -3x = x + (2 * -4 + -1x * -4)
7 + -3x = x + (-8 + 4x)

Reorder the terms:
7 + -3x = -8 + x + 4x

Combine like terms: x + 4x = 5x
7 + -3x = -8 + 5x

Solving
7 + -3x = -8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + -3x + -5x = -8 + 5x + -5x

Combine like terms: -3x + -5x = -8x
7 + -8x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -8x = -8 + 0
7 + -8x = -8

Add '-7' to each side of the equation.
7 + -7 + -8x = -8 + -7

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

Combine like terms: -8 + -7 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875

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