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

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


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

Reorder the terms:
-4(-3 + 2x) = -7x + -6
(-3 * -4 + 2x * -4) = -7x + -6
(12 + -8x) = -7x + -6

Reorder the terms:
12 + -8x = -6 + -7x

Solving
12 + -8x = -6 + -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.
12 + -8x + 7x = -6 + -7x + 7x

Combine like terms: -8x + 7x = -1x
12 + -1x = -6 + -7x + 7x

Combine like terms: -7x + 7x = 0
12 + -1x = -6 + 0
12 + -1x = -6

Add '-12' to each side of the equation.
12 + -12 + -1x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -6 + -12
-1x = -6 + -12

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

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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