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

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


Simplifying
4(3 + -2x) + -5 = -3(x + -2)
(3 * 4 + -2x * 4) + -5 = -3(x + -2)
(12 + -8x) + -5 = -3(x + -2)

Reorder the terms:
12 + -5 + -8x = -3(x + -2)

Combine like terms: 12 + -5 = 7
7 + -8x = -3(x + -2)

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

Solving
7 + -8x = 6 + -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.
7 + -8x + 3x = 6 + -3x + 3x

Combine like terms: -8x + 3x = -5x
7 + -5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -5x = 6 + 0
7 + -5x = 6

Add '-7' to each side of the equation.
7 + -7 + -5x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 6 + -7
-5x = 6 + -7

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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