7(6x-1)=8(x-5)

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Solution for 7(6x-1)=8(x-5) equation:


Simplifying
7(6x + -1) = 8(x + -5)

Reorder the terms:
7(-1 + 6x) = 8(x + -5)
(-1 * 7 + 6x * 7) = 8(x + -5)
(-7 + 42x) = 8(x + -5)

Reorder the terms:
-7 + 42x = 8(-5 + x)
-7 + 42x = (-5 * 8 + x * 8)
-7 + 42x = (-40 + 8x)

Solving
-7 + 42x = -40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 42x + -8x = -40 + 8x + -8x

Combine like terms: 42x + -8x = 34x
-7 + 34x = -40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + 34x = -40 + 0
-7 + 34x = -40

Add '7' to each side of the equation.
-7 + 7 + 34x = -40 + 7

Combine like terms: -7 + 7 = 0
0 + 34x = -40 + 7
34x = -40 + 7

Combine like terms: -40 + 7 = -33
34x = -33

Divide each side by '34'.
x = -0.9705882353

Simplifying
x = -0.9705882353

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