8(6-x)=7(x-6)

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Solution for 8(6-x)=7(x-6) equation: 


Simplifying
8(6 + -1x) = 7(x + -6)
(6 * 8 + -1x * 8) = 7(x + -6)
(48 + -8x) = 7(x + -6)

Reorder the terms:
48 + -8x = 7(-6 + x)
48 + -8x = (-6 * 7 + x * 7)
48 + -8x = (-42 + 7x)

Solving
48 + -8x = -42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
48 + -8x + -7x = -42 + 7x + -7x

Combine like terms: -8x + -7x = -15x
48 + -15x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -15x = -42 + 0
48 + -15x = -42

Add '-48' to each side of the equation.
48 + -48 + -15x = -42 + -48

Combine like terms: 48 + -48 = 0
0 + -15x = -42 + -48
-15x = -42 + -48

Combine like terms: -42 + -48 = -90
-15x = -90

Divide each side by '-15'.
x = 6

Simplifying
x = 6

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