-8(x-6)+4=-3(x-2)

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


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

Reorder the terms:
-8(-6 + x) + 4 = -3(x + -2)
(-6 * -8 + x * -8) + 4 = -3(x + -2)
(48 + -8x) + 4 = -3(x + -2)

Reorder the terms:
48 + 4 + -8x = -3(x + -2)

Combine like terms: 48 + 4 = 52
52 + -8x = -3(x + -2)

Reorder the terms:
52 + -8x = -3(-2 + x)
52 + -8x = (-2 * -3 + x * -3)
52 + -8x = (6 + -3x)

Solving
52 + -8x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
52 + -8x + 3x = 6 + -3x + 3x

Combine like terms: -8x + 3x = -5x
52 + -5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
52 + -5x = 6 + 0
52 + -5x = 6

Add '-52' to each side of the equation.
52 + -52 + -5x = 6 + -52

Combine like terms: 52 + -52 = 0
0 + -5x = 6 + -52
-5x = 6 + -52

Combine like terms: 6 + -52 = -46
-5x = -46

Divide each side by '-5'.
x = 9.2

Simplifying
x = 9.2

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