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

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


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

Reorder the terms:
7 + -5(-3 + -2x) = 3(-2x + 7)
7 + (-3 * -5 + -2x * -5) = 3(-2x + 7)
7 + (15 + 10x) = 3(-2x + 7)

Combine like terms: 7 + 15 = 22
22 + 10x = 3(-2x + 7)

Reorder the terms:
22 + 10x = 3(7 + -2x)
22 + 10x = (7 * 3 + -2x * 3)
22 + 10x = (21 + -6x)

Solving
22 + 10x = 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.
22 + 10x + 6x = 21 + -6x + 6x

Combine like terms: 10x + 6x = 16x
22 + 16x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + 16x = 21 + 0
22 + 16x = 21

Add '-22' to each side of the equation.
22 + -22 + 16x = 21 + -22

Combine like terms: 22 + -22 = 0
0 + 16x = 21 + -22
16x = 21 + -22

Combine like terms: 21 + -22 = -1
16x = -1

Divide each side by '16'.
x = -0.0625

Simplifying
x = -0.0625

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