-3(x-1)=4(3-2x)+7

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


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

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

Reorder the terms:
3 + -3x = 12 + 7 + -8x

Combine like terms: 12 + 7 = 19
3 + -3x = 19 + -8x

Solving
3 + -3x = 19 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + -3x + 8x = 19 + -8x + 8x

Combine like terms: -3x + 8x = 5x
3 + 5x = 19 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 5x = 19 + 0
3 + 5x = 19

Add '-3' to each side of the equation.
3 + -3 + 5x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 19 + -3
5x = 19 + -3

Combine like terms: 19 + -3 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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