-6(-4x+3)-9x=7(x-3)-3

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Solution for -6(-4x+3)-9x=7(x-3)-3 equation:


Simplifying
-6(-4x + 3) + -9x = 7(x + -3) + -3

Reorder the terms:
-6(3 + -4x) + -9x = 7(x + -3) + -3
(3 * -6 + -4x * -6) + -9x = 7(x + -3) + -3
(-18 + 24x) + -9x = 7(x + -3) + -3

Combine like terms: 24x + -9x = 15x
-18 + 15x = 7(x + -3) + -3

Reorder the terms:
-18 + 15x = 7(-3 + x) + -3
-18 + 15x = (-3 * 7 + x * 7) + -3
-18 + 15x = (-21 + 7x) + -3

Reorder the terms:
-18 + 15x = -21 + -3 + 7x

Combine like terms: -21 + -3 = -24
-18 + 15x = -24 + 7x

Solving
-18 + 15x = -24 + 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.
-18 + 15x + -7x = -24 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-18 + 8x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 8x = -24 + 0
-18 + 8x = -24

Add '18' to each side of the equation.
-18 + 18 + 8x = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = -24 + 18
8x = -24 + 18

Combine like terms: -24 + 18 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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