5(x+3)+12x=4-7(2-x)

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Solution for 5(x+3)+12x=4-7(2-x) equation:


Simplifying
5(x + 3) + 12x = 4 + -7(2 + -1x)

Reorder the terms:
5(3 + x) + 12x = 4 + -7(2 + -1x)
(3 * 5 + x * 5) + 12x = 4 + -7(2 + -1x)
(15 + 5x) + 12x = 4 + -7(2 + -1x)

Combine like terms: 5x + 12x = 17x
15 + 17x = 4 + -7(2 + -1x)
15 + 17x = 4 + (2 * -7 + -1x * -7)
15 + 17x = 4 + (-14 + 7x)

Combine like terms: 4 + -14 = -10
15 + 17x = -10 + 7x

Solving
15 + 17x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 17x + -7x = -10 + 7x + -7x

Combine like terms: 17x + -7x = 10x
15 + 10x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 10x = -10 + 0
15 + 10x = -10

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

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

Combine like terms: -10 + -15 = -25
10x = -25

Divide each side by '10'.
x = -2.5

Simplifying
x = -2.5

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