5-3(6-4x)=4+2(5x-3)

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Solution for 5-3(6-4x)=4+2(5x-3) equation:


Simplifying
5 + -3(6 + -4x) = 4 + 2(5x + -3)
5 + (6 * -3 + -4x * -3) = 4 + 2(5x + -3)
5 + (-18 + 12x) = 4 + 2(5x + -3)

Combine like terms: 5 + -18 = -13
-13 + 12x = 4 + 2(5x + -3)

Reorder the terms:
-13 + 12x = 4 + 2(-3 + 5x)
-13 + 12x = 4 + (-3 * 2 + 5x * 2)
-13 + 12x = 4 + (-6 + 10x)

Combine like terms: 4 + -6 = -2
-13 + 12x = -2 + 10x

Solving
-13 + 12x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-13 + 12x + -10x = -2 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-13 + 2x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-13 + 2x = -2 + 0
-13 + 2x = -2

Add '13' to each side of the equation.
-13 + 13 + 2x = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -2 + 13
2x = -2 + 13

Combine like terms: -2 + 13 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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