5(2x-3)+7=12-5(x+1)

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Solution for 5(2x-3)+7=12-5(x+1) equation:


Simplifying
5(2x + -3) + 7 = 12 + -5(x + 1)

Reorder the terms:
5(-3 + 2x) + 7 = 12 + -5(x + 1)
(-3 * 5 + 2x * 5) + 7 = 12 + -5(x + 1)
(-15 + 10x) + 7 = 12 + -5(x + 1)

Reorder the terms:
-15 + 7 + 10x = 12 + -5(x + 1)

Combine like terms: -15 + 7 = -8
-8 + 10x = 12 + -5(x + 1)

Reorder the terms:
-8 + 10x = 12 + -5(1 + x)
-8 + 10x = 12 + (1 * -5 + x * -5)
-8 + 10x = 12 + (-5 + -5x)

Combine like terms: 12 + -5 = 7
-8 + 10x = 7 + -5x

Solving
-8 + 10x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + 10x + 5x = 7 + -5x + 5x

Combine like terms: 10x + 5x = 15x
-8 + 15x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 15x = 7 + 0
-8 + 15x = 7

Add '8' to each side of the equation.
-8 + 8 + 15x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 7 + 8
15x = 7 + 8

Combine like terms: 7 + 8 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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