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

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


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

Reorder the terms:
-1 + 5x = -3(5 + -4x)
-1 + 5x = (5 * -3 + -4x * -3)
-1 + 5x = (-15 + 12x)

Solving
-1 + 5x = -15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-1 + 5x + -12x = -15 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-1 + -7x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-1 + -7x = -15 + 0
-1 + -7x = -15

Add '1' to each side of the equation.
-1 + 1 + -7x = -15 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -15 + 1
-7x = -15 + 1

Combine like terms: -15 + 1 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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