-4(2x-6)+7x=5x+24

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Solution for -4(2x-6)+7x=5x+24 equation:


Simplifying
-4(2x + -6) + 7x = 5x + 24

Reorder the terms:
-4(-6 + 2x) + 7x = 5x + 24
(-6 * -4 + 2x * -4) + 7x = 5x + 24
(24 + -8x) + 7x = 5x + 24

Combine like terms: -8x + 7x = -1x
24 + -1x = 5x + 24

Reorder the terms:
24 + -1x = 24 + 5x

Add '-24' to each side of the equation.
24 + -24 + -1x = 24 + -24 + 5x

Combine like terms: 24 + -24 = 0
0 + -1x = 24 + -24 + 5x
-1x = 24 + -24 + 5x

Combine like terms: 24 + -24 = 0
-1x = 0 + 5x
-1x = 5x

Solving
-1x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1x + -5x = 5x + -5x

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

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

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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