-5x+4(x-6)=7x+8

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Solution for -5x+4(x-6)=7x+8 equation:


Simplifying
-5x + 4(x + -6) = 7x + 8

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

Reorder the terms:
-24 + -5x + 4x = 7x + 8

Combine like terms: -5x + 4x = -1x
-24 + -1x = 7x + 8

Reorder the terms:
-24 + -1x = 8 + 7x

Solving
-24 + -1x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + -1x + -7x = 8 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-24 + -8x = 8 + 0
-24 + -8x = 8

Add '24' to each side of the equation.
-24 + 24 + -8x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = 8 + 24
-8x = 8 + 24

Combine like terms: 8 + 24 = 32
-8x = 32

Divide each side by '-8'.
x = -4

Simplifying
x = -4

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