2x-4=-1(5x-3)

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Solution for 2x-4=-1(5x-3) equation:


Simplifying
2x + -4 = -1(5x + -3)

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

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

Solving
-4 + 2x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + 2x + 5x = 3 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-4 + 7x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 7x = 3 + 0
-4 + 7x = 3

Add '4' to each side of the equation.
-4 + 4 + 7x = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 3 + 4
7x = 3 + 4

Combine like terms: 3 + 4 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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