8(x-5)=12(4x-1)+12

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Solution for 8(x-5)=12(4x-1)+12 equation:


Simplifying
8(x + -5) = 12(4x + -1) + 12

Reorder the terms:
8(-5 + x) = 12(4x + -1) + 12
(-5 * 8 + x * 8) = 12(4x + -1) + 12
(-40 + 8x) = 12(4x + -1) + 12

Reorder the terms:
-40 + 8x = 12(-1 + 4x) + 12
-40 + 8x = (-1 * 12 + 4x * 12) + 12
-40 + 8x = (-12 + 48x) + 12

Reorder the terms:
-40 + 8x = -12 + 12 + 48x

Combine like terms: -12 + 12 = 0
-40 + 8x = 0 + 48x
-40 + 8x = 48x

Solving
-40 + 8x = 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-40 + 8x + -48x = 48x + -48x

Combine like terms: 8x + -48x = -40x
-40 + -40x = 48x + -48x

Combine like terms: 48x + -48x = 0
-40 + -40x = 0

Add '40' to each side of the equation.
-40 + 40 + -40x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -40x = 0 + 40
-40x = 0 + 40

Combine like terms: 0 + 40 = 40
-40x = 40

Divide each side by '-40'.
x = -1

Simplifying
x = -1

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