8-3(1-x)=1+4(x-2)

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Solution for 8-3(1-x)=1+4(x-2) equation:


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

Combine like terms: 8 + -3 = 5
5 + 3x = 1 + 4(x + -2)

Reorder the terms:
5 + 3x = 1 + 4(-2 + x)
5 + 3x = 1 + (-2 * 4 + x * 4)
5 + 3x = 1 + (-8 + 4x)

Combine like terms: 1 + -8 = -7
5 + 3x = -7 + 4x

Solving
5 + 3x = -7 + 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.
5 + 3x + -4x = -7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = -7 + 0
5 + -1x = -7

Add '-5' to each side of the equation.
5 + -5 + -1x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -7 + -5
-1x = -7 + -5

Combine like terms: -7 + -5 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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