-4(2x-3)-(10x+7)+2=(12x-5)-1

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Solution for -4(2x-3)-(10x+7)+2=(12x-5)-1 equation:


Simplifying
-4(2x + -3) + -1(10x + 7) + 2 = (12x + -5) + -1

Reorder the terms:
-4(-3 + 2x) + -1(10x + 7) + 2 = (12x + -5) + -1
(-3 * -4 + 2x * -4) + -1(10x + 7) + 2 = (12x + -5) + -1
(12 + -8x) + -1(10x + 7) + 2 = (12x + -5) + -1

Reorder the terms:
12 + -8x + -1(7 + 10x) + 2 = (12x + -5) + -1
12 + -8x + (7 * -1 + 10x * -1) + 2 = (12x + -5) + -1
12 + -8x + (-7 + -10x) + 2 = (12x + -5) + -1

Reorder the terms:
12 + -7 + 2 + -8x + -10x = (12x + -5) + -1

Combine like terms: 12 + -7 = 5
5 + 2 + -8x + -10x = (12x + -5) + -1

Combine like terms: 5 + 2 = 7
7 + -8x + -10x = (12x + -5) + -1

Combine like terms: -8x + -10x = -18x
7 + -18x = (12x + -5) + -1

Reorder the terms:
7 + -18x = (-5 + 12x) + -1

Remove parenthesis around (-5 + 12x)
7 + -18x = -5 + 12x + -1

Reorder the terms:
7 + -18x = -5 + -1 + 12x

Combine like terms: -5 + -1 = -6
7 + -18x = -6 + 12x

Solving
7 + -18x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
7 + -18x + -12x = -6 + 12x + -12x

Combine like terms: -18x + -12x = -30x
7 + -30x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -30x = -6 + 0
7 + -30x = -6

Add '-7' to each side of the equation.
7 + -7 + -30x = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -30x = -6 + -7
-30x = -6 + -7

Combine like terms: -6 + -7 = -13
-30x = -13

Divide each side by '-30'.
x = 0.4333333333

Simplifying
x = 0.4333333333

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