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

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


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

Reorder the terms:
3(-5 + x) + -2(x + -4) = 8x
(-5 * 3 + x * 3) + -2(x + -4) = 8x
(-15 + 3x) + -2(x + -4) = 8x

Reorder the terms:
-15 + 3x + -2(-4 + x) = 8x
-15 + 3x + (-4 * -2 + x * -2) = 8x
-15 + 3x + (8 + -2x) = 8x

Reorder the terms:
-15 + 8 + 3x + -2x = 8x

Combine like terms: -15 + 8 = -7
-7 + 3x + -2x = 8x

Combine like terms: 3x + -2x = 1x
-7 + 1x = 8x

Solving
-7 + 1x = 8x

Solving for variable 'x'.

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

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

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

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

Add '7' to each side of the equation.
-7 + 7 + -7x = 0 + 7

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

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

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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