(8x-10)+(4-3x)=4(x-6)

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Solution for (8x-10)+(4-3x)=4(x-6) equation:


Simplifying
(8x + -10) + (4 + -3x) = 4(x + -6)

Reorder the terms:
(-10 + 8x) + (4 + -3x) = 4(x + -6)

Remove parenthesis around (-10 + 8x)
-10 + 8x + (4 + -3x) = 4(x + -6)

Remove parenthesis around (4 + -3x)
-10 + 8x + 4 + -3x = 4(x + -6)

Reorder the terms:
-10 + 4 + 8x + -3x = 4(x + -6)

Combine like terms: -10 + 4 = -6
-6 + 8x + -3x = 4(x + -6)

Combine like terms: 8x + -3x = 5x
-6 + 5x = 4(x + -6)

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

Solving
-6 + 5x = -24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 5x + -4x = -24 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-6 + 1x = -24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 1x = -24 + 0
-6 + 1x = -24

Add '6' to each side of the equation.
-6 + 6 + 1x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -24 + 6
1x = -24 + 6

Combine like terms: -24 + 6 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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