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

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


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

Reorder the terms:
-3 = 5(-4 + x) + -1(x + -5)
-3 = (-4 * 5 + x * 5) + -1(x + -5)
-3 = (-20 + 5x) + -1(x + -5)

Reorder the terms:
-3 = -20 + 5x + -1(-5 + x)
-3 = -20 + 5x + (-5 * -1 + x * -1)
-3 = -20 + 5x + (5 + -1x)

Reorder the terms:
-3 = -20 + 5 + 5x + -1x

Combine like terms: -20 + 5 = -15
-3 = -15 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-3 = -15 + 4x

Solving
-3 = -15 + 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 + -4x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + -4x = -15 + 0
-3 + -4x = -15

Add '3' to each side of the equation.
-3 + 3 + -4x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -15 + 3
-4x = -15 + 3

Combine like terms: -15 + 3 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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