-4(x-3)=-3(2x-1)+5

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


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

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

Reorder the terms:
12 + -4x = -3(-1 + 2x) + 5
12 + -4x = (-1 * -3 + 2x * -3) + 5
12 + -4x = (3 + -6x) + 5

Reorder the terms:
12 + -4x = 3 + 5 + -6x

Combine like terms: 3 + 5 = 8
12 + -4x = 8 + -6x

Solving
12 + -4x = 8 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + -4x + 6x = 8 + -6x + 6x

Combine like terms: -4x + 6x = 2x
12 + 2x = 8 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 2x = 8 + 0
12 + 2x = 8

Add '-12' to each side of the equation.
12 + -12 + 2x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 8 + -12
2x = 8 + -12

Combine like terms: 8 + -12 = -4
2x = -4

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

Simplifying
x = -2

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