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

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Solution for 3-x+2*(5-x)=4x-8 equation:


Simplifying
3 + -1x + 2(5 + -1x) = 4x + -8
3 + -1x + (5 * 2 + -1x * 2) = 4x + -8
3 + -1x + (10 + -2x) = 4x + -8

Reorder the terms:
3 + 10 + -1x + -2x = 4x + -8

Combine like terms: 3 + 10 = 13
13 + -1x + -2x = 4x + -8

Combine like terms: -1x + -2x = -3x
13 + -3x = 4x + -8

Reorder the terms:
13 + -3x = -8 + 4x

Solving
13 + -3x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
13 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
13 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -7x = -8 + 0
13 + -7x = -8

Add '-13' to each side of the equation.
13 + -13 + -7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -8 + -13
-7x = -8 + -13

Combine like terms: -8 + -13 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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