8(x-3)-5(2x-4)=6x-7(x-4)

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Solution for 8(x-3)-5(2x-4)=6x-7(x-4) equation:


Simplifying
8(x + -3) + -5(2x + -4) = 6x + -7(x + -4)

Reorder the terms:
8(-3 + x) + -5(2x + -4) = 6x + -7(x + -4)
(-3 * 8 + x * 8) + -5(2x + -4) = 6x + -7(x + -4)
(-24 + 8x) + -5(2x + -4) = 6x + -7(x + -4)

Reorder the terms:
-24 + 8x + -5(-4 + 2x) = 6x + -7(x + -4)
-24 + 8x + (-4 * -5 + 2x * -5) = 6x + -7(x + -4)
-24 + 8x + (20 + -10x) = 6x + -7(x + -4)

Reorder the terms:
-24 + 20 + 8x + -10x = 6x + -7(x + -4)

Combine like terms: -24 + 20 = -4
-4 + 8x + -10x = 6x + -7(x + -4)

Combine like terms: 8x + -10x = -2x
-4 + -2x = 6x + -7(x + -4)

Reorder the terms:
-4 + -2x = 6x + -7(-4 + x)
-4 + -2x = 6x + (-4 * -7 + x * -7)
-4 + -2x = 6x + (28 + -7x)

Reorder the terms:
-4 + -2x = 28 + 6x + -7x

Combine like terms: 6x + -7x = -1x
-4 + -2x = 28 + -1x

Solving
-4 + -2x = 28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + -2x + x = 28 + -1x + x

Combine like terms: -2x + x = -1x
-4 + -1x = 28 + -1x + x

Combine like terms: -1x + x = 0
-4 + -1x = 28 + 0
-4 + -1x = 28

Add '4' to each side of the equation.
-4 + 4 + -1x = 28 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 28 + 4
-1x = 28 + 4

Combine like terms: 28 + 4 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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