4-(5-3x)=3x-1-(x-8)

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Solution for 4-(5-3x)=3x-1-(x-8) equation:


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

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

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

Reorder the terms:
-1 + 3x = -1 + 8 + 3x + -1x

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

Combine like terms: 3x + -1x = 2x
-1 + 3x = 7 + 2x

Solving
-1 + 3x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-1 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 1x = 7 + 0
-1 + 1x = 7

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

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

Combine like terms: 7 + 1 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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