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

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


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

Reorder the terms:
-3 + 3x = 4(-5 + x) + -3
-3 + 3x = (-5 * 4 + x * 4) + -3
-3 + 3x = (-20 + 4x) + -3

Reorder the terms:
-3 + 3x = -20 + -3 + 4x

Combine like terms: -20 + -3 = -23
-3 + 3x = -23 + 4x

Solving
-3 + 3x = -23 + 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.
-3 + 3x + -4x = -23 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-3 + -1x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -1x = -23 + 0
-3 + -1x = -23

Add '3' to each side of the equation.
-3 + 3 + -1x = -23 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -23 + 3
-1x = -23 + 3

Combine like terms: -23 + 3 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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