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 = 22
22 + 10x = 12 + -5(x + 1)

Reorder the terms:
22 + 10x = 12 + -5(1 + x)
22 + 10x = 12 + (1 * -5 + x * -5)
22 + 10x = 12 + (-5 + -5x)

Combine like terms: 12 + -5 = 7
22 + 10x = 7 + -5x

Solving
22 + 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.
22 + 10x + 5x = 7 + -5x + 5x

Combine like terms: 10x + 5x = 15x
22 + 15x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
22 + 15x = 7 + 0
22 + 15x = 7

Add '-22' to each side of the equation.
22 + -22 + 15x = 7 + -22

Combine like terms: 22 + -22 = 0
0 + 15x = 7 + -22
15x = 7 + -22

Combine like terms: 7 + -22 = -15
15x = -15

Divide each side by '15'.
x = -1

Simplifying
x = -1

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