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

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


Simplifying
5 + -3(4 + -2x) = 4(x + -3) + -3
5 + (4 * -3 + -2x * -3) = 4(x + -3) + -3
5 + (-12 + 6x) = 4(x + -3) + -3

Combine like terms: 5 + -12 = -7
-7 + 6x = 4(x + -3) + -3

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

Reorder the terms:
-7 + 6x = -12 + -3 + 4x

Combine like terms: -12 + -3 = -15
-7 + 6x = -15 + 4x

Solving
-7 + 6x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 6x + -4x = -15 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-7 + 2x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 2x = -15 + 0
-7 + 2x = -15

Add '7' to each side of the equation.
-7 + 7 + 2x = -15 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -15 + 7
2x = -15 + 7

Combine like terms: -15 + 7 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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