-2(4x-3)+3(3x-6)-7=7-2

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Solution for -2(4x-3)+3(3x-6)-7=7-2 equation:


Simplifying
-2(4x + -3) + 3(3x + -6) + -7 = 7 + -2

Reorder the terms:
-2(-3 + 4x) + 3(3x + -6) + -7 = 7 + -2
(-3 * -2 + 4x * -2) + 3(3x + -6) + -7 = 7 + -2
(6 + -8x) + 3(3x + -6) + -7 = 7 + -2

Reorder the terms:
6 + -8x + 3(-6 + 3x) + -7 = 7 + -2
6 + -8x + (-6 * 3 + 3x * 3) + -7 = 7 + -2
6 + -8x + (-18 + 9x) + -7 = 7 + -2

Reorder the terms:
6 + -18 + -7 + -8x + 9x = 7 + -2

Combine like terms: 6 + -18 = -12
-12 + -7 + -8x + 9x = 7 + -2

Combine like terms: -12 + -7 = -19
-19 + -8x + 9x = 7 + -2

Combine like terms: -8x + 9x = 1x
-19 + 1x = 7 + -2

Combine like terms: 7 + -2 = 5
-19 + 1x = 5

Solving
-19 + 1x = 5

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 1x = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 5 + 19
1x = 5 + 19

Combine like terms: 5 + 19 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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