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

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


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

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

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

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

Combine like terms: -24 + 6 = -18
-18 + 8x + -2x = 5(x + -4)

Combine like terms: 8x + -2x = 6x
-18 + 6x = 5(x + -4)

Reorder the terms:
-18 + 6x = 5(-4 + x)
-18 + 6x = (-4 * 5 + x * 5)
-18 + 6x = (-20 + 5x)

Solving
-18 + 6x = -20 + 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.
-18 + 6x + -5x = -20 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-18 + 1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 1x = -20 + 0
-18 + 1x = -20

Add '18' to each side of the equation.
-18 + 18 + 1x = -20 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -20 + 18
1x = -20 + 18

Combine like terms: -20 + 18 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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