2x-5=-3(-2x+7)

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Solution for 2x-5=-3(-2x+7) equation:


Simplifying
2x + -5 = -3(-2x + 7)

Reorder the terms:
-5 + 2x = -3(-2x + 7)

Reorder the terms:
-5 + 2x = -3(7 + -2x)
-5 + 2x = (7 * -3 + -2x * -3)
-5 + 2x = (-21 + 6x)

Solving
-5 + 2x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 2x + -6x = -21 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-5 + -4x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -4x = -21 + 0
-5 + -4x = -21

Add '5' to each side of the equation.
-5 + 5 + -4x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = -21 + 5
-4x = -21 + 5

Combine like terms: -21 + 5 = -16
-4x = -16

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

Simplifying
x = 4

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