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

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


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

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

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

Solving
-7 + 6x = -12 + 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 = -12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-7 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 2x = -12 + 0
-7 + 2x = -12

Add '7' to each side of the equation.
-7 + 7 + 2x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -12 + 7
2x = -12 + 7

Combine like terms: -12 + 7 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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