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

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


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

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

Reorder the terms:
10 + 10x = -3(-5 + 2x)
10 + 10x = (-5 * -3 + 2x * -3)
10 + 10x = (15 + -6x)

Solving
10 + 10x = 15 + -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.
10 + 10x + 6x = 15 + -6x + 6x

Combine like terms: 10x + 6x = 16x
10 + 16x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + 16x = 15 + 0
10 + 16x = 15

Add '-10' to each side of the equation.
10 + -10 + 16x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 16x = 15 + -10
16x = 15 + -10

Combine like terms: 15 + -10 = 5
16x = 5

Divide each side by '16'.
x = 0.3125

Simplifying
x = 0.3125

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