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

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


Simplifying
8(x + -3) + -1(5x + -4) = 2x

Reorder the terms:
8(-3 + x) + -1(5x + -4) = 2x
(-3 * 8 + x * 8) + -1(5x + -4) = 2x
(-24 + 8x) + -1(5x + -4) = 2x

Reorder the terms:
-24 + 8x + -1(-4 + 5x) = 2x
-24 + 8x + (-4 * -1 + 5x * -1) = 2x
-24 + 8x + (4 + -5x) = 2x

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

Combine like terms: -24 + 4 = -20
-20 + 8x + -5x = 2x

Combine like terms: 8x + -5x = 3x
-20 + 3x = 2x

Solving
-20 + 3x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 3x + -2x = 2x + -2x

Combine like terms: 3x + -2x = 1x
-20 + 1x = 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 1x = 0

Add '20' to each side of the equation.
-20 + 20 + 1x = 0 + 20

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

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

Divide each side by '1'.
x = 20

Simplifying
x = 20

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