5-3x=7x-2(4-x)

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Solution for 5-3x=7x-2(4-x) equation:


Simplifying
5 + -3x = 7x + -2(4 + -1x)
5 + -3x = 7x + (4 * -2 + -1x * -2)
5 + -3x = 7x + (-8 + 2x)

Reorder the terms:
5 + -3x = -8 + 7x + 2x

Combine like terms: 7x + 2x = 9x
5 + -3x = -8 + 9x

Solving
5 + -3x = -8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
5 + -3x + -9x = -8 + 9x + -9x

Combine like terms: -3x + -9x = -12x
5 + -12x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
5 + -12x = -8 + 0
5 + -12x = -8

Add '-5' to each side of the equation.
5 + -5 + -12x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = -8 + -5
-12x = -8 + -5

Combine like terms: -8 + -5 = -13
-12x = -13

Divide each side by '-12'.
x = 1.083333333

Simplifying
x = 1.083333333

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