5(3x+3)-9=4(2x-6)-(x-14)

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Solution for 5(3x+3)-9=4(2x-6)-(x-14) equation:


Simplifying
5(3x + 3) + -9 = 4(2x + -6) + -1(x + -14)

Reorder the terms:
5(3 + 3x) + -9 = 4(2x + -6) + -1(x + -14)
(3 * 5 + 3x * 5) + -9 = 4(2x + -6) + -1(x + -14)
(15 + 15x) + -9 = 4(2x + -6) + -1(x + -14)

Reorder the terms:
15 + -9 + 15x = 4(2x + -6) + -1(x + -14)

Combine like terms: 15 + -9 = 6
6 + 15x = 4(2x + -6) + -1(x + -14)

Reorder the terms:
6 + 15x = 4(-6 + 2x) + -1(x + -14)
6 + 15x = (-6 * 4 + 2x * 4) + -1(x + -14)
6 + 15x = (-24 + 8x) + -1(x + -14)

Reorder the terms:
6 + 15x = -24 + 8x + -1(-14 + x)
6 + 15x = -24 + 8x + (-14 * -1 + x * -1)
6 + 15x = -24 + 8x + (14 + -1x)

Reorder the terms:
6 + 15x = -24 + 14 + 8x + -1x

Combine like terms: -24 + 14 = -10
6 + 15x = -10 + 8x + -1x

Combine like terms: 8x + -1x = 7x
6 + 15x = -10 + 7x

Solving
6 + 15x = -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.
6 + 15x + -7x = -10 + 7x + -7x

Combine like terms: 15x + -7x = 8x
6 + 8x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 8x = -10 + 0
6 + 8x = -10

Add '-6' to each side of the equation.
6 + -6 + 8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -10 + -6
8x = -10 + -6

Combine like terms: -10 + -6 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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