-8(x-6)=3+3(1-5x)

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Solution for -8(x-6)=3+3(1-5x) equation:


Simplifying
-8(x + -6) = 3 + 3(1 + -5x)

Reorder the terms:
-8(-6 + x) = 3 + 3(1 + -5x)
(-6 * -8 + x * -8) = 3 + 3(1 + -5x)
(48 + -8x) = 3 + 3(1 + -5x)
48 + -8x = 3 + (1 * 3 + -5x * 3)
48 + -8x = 3 + (3 + -15x)

Combine like terms: 3 + 3 = 6
48 + -8x = 6 + -15x

Solving
48 + -8x = 6 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
48 + -8x + 15x = 6 + -15x + 15x

Combine like terms: -8x + 15x = 7x
48 + 7x = 6 + -15x + 15x

Combine like terms: -15x + 15x = 0
48 + 7x = 6 + 0
48 + 7x = 6

Add '-48' to each side of the equation.
48 + -48 + 7x = 6 + -48

Combine like terms: 48 + -48 = 0
0 + 7x = 6 + -48
7x = 6 + -48

Combine like terms: 6 + -48 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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