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

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


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

Reorder the terms:
-7(-2 + x) = -7(2x + 3)
(-2 * -7 + x * -7) = -7(2x + 3)
(14 + -7x) = -7(2x + 3)

Reorder the terms:
14 + -7x = -7(3 + 2x)
14 + -7x = (3 * -7 + 2x * -7)
14 + -7x = (-21 + -14x)

Solving
14 + -7x = -21 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
14 + -7x + 14x = -21 + -14x + 14x

Combine like terms: -7x + 14x = 7x
14 + 7x = -21 + -14x + 14x

Combine like terms: -14x + 14x = 0
14 + 7x = -21 + 0
14 + 7x = -21

Add '-14' to each side of the equation.
14 + -14 + 7x = -21 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = -21 + -14
7x = -21 + -14

Combine like terms: -21 + -14 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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