6(-x+8)=7(x-1)

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Solution for 6(-x+8)=7(x-1) equation:


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

Reorder the terms:
6(8 + -1x) = 7(x + -1)
(8 * 6 + -1x * 6) = 7(x + -1)
(48 + -6x) = 7(x + -1)

Reorder the terms:
48 + -6x = 7(-1 + x)
48 + -6x = (-1 * 7 + x * 7)
48 + -6x = (-7 + 7x)

Solving
48 + -6x = -7 + 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 + -6x + -7x = -7 + 7x + -7x

Combine like terms: -6x + -7x = -13x
48 + -13x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -13x = -7 + 0
48 + -13x = -7

Add '-48' to each side of the equation.
48 + -48 + -13x = -7 + -48

Combine like terms: 48 + -48 = 0
0 + -13x = -7 + -48
-13x = -7 + -48

Combine like terms: -7 + -48 = -55
-13x = -55

Divide each side by '-13'.
x = 4.230769231

Simplifying
x = 4.230769231

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