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

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


Simplifying
-4(2 + -3x) = 7 + -3(x + -3)
(2 * -4 + -3x * -4) = 7 + -3(x + -3)
(-8 + 12x) = 7 + -3(x + -3)

Reorder the terms:
-8 + 12x = 7 + -3(-3 + x)
-8 + 12x = 7 + (-3 * -3 + x * -3)
-8 + 12x = 7 + (9 + -3x)

Combine like terms: 7 + 9 = 16
-8 + 12x = 16 + -3x

Solving
-8 + 12x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 12x + 3x = 16 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-8 + 15x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 15x = 16 + 0
-8 + 15x = 16

Add '8' to each side of the equation.
-8 + 8 + 15x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = 16 + 8
15x = 16 + 8

Combine like terms: 16 + 8 = 24
15x = 24

Divide each side by '15'.
x = 1.6

Simplifying
x = 1.6

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