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

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


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

Reorder the terms:
-5(-2 + x) = -2(2x + 3)
(-2 * -5 + x * -5) = -2(2x + 3)
(10 + -5x) = -2(2x + 3)

Reorder the terms:
10 + -5x = -2(3 + 2x)
10 + -5x = (3 * -2 + 2x * -2)
10 + -5x = (-6 + -4x)

Solving
10 + -5x = -6 + -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.
10 + -5x + 4x = -6 + -4x + 4x

Combine like terms: -5x + 4x = -1x
10 + -1x = -6 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + -1x = -6 + 0
10 + -1x = -6

Add '-10' to each side of the equation.
10 + -10 + -1x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -6 + -10
-1x = -6 + -10

Combine like terms: -6 + -10 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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