8(x-7)=4(x-12)

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Solution for 8(x-7)=4(x-12) equation:


Simplifying
8(x + -7) = 4(x + -12)

Reorder the terms:
8(-7 + x) = 4(x + -12)
(-7 * 8 + x * 8) = 4(x + -12)
(-56 + 8x) = 4(x + -12)

Reorder the terms:
-56 + 8x = 4(-12 + x)
-56 + 8x = (-12 * 4 + x * 4)
-56 + 8x = (-48 + 4x)

Solving
-56 + 8x = -48 + 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.
-56 + 8x + -4x = -48 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-56 + 4x = -48 + 4x + -4x

Combine like terms: 4x + -4x = 0
-56 + 4x = -48 + 0
-56 + 4x = -48

Add '56' to each side of the equation.
-56 + 56 + 4x = -48 + 56

Combine like terms: -56 + 56 = 0
0 + 4x = -48 + 56
4x = -48 + 56

Combine like terms: -48 + 56 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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