6(x-8)-2(x-1)=7

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Solution for 6(x-8)-2(x-1)=7 equation: 


Simplifying
6(x + -8) + -2(x + -1) = 7

Reorder the terms:
6(-8 + x) + -2(x + -1) = 7
(-8 * 6 + x * 6) + -2(x + -1) = 7
(-48 + 6x) + -2(x + -1) = 7

Reorder the terms:
-48 + 6x + -2(-1 + x) = 7
-48 + 6x + (-1 * -2 + x * -2) = 7
-48 + 6x + (2 + -2x) = 7

Reorder the terms:
-48 + 2 + 6x + -2x = 7

Combine like terms: -48 + 2 = -46
-46 + 6x + -2x = 7

Combine like terms: 6x + -2x = 4x
-46 + 4x = 7

Solving
-46 + 4x = 7

Solving for variable 'x'.

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

Add '46' to each side of the equation.
-46 + 46 + 4x = 7 + 46

Combine like terms: -46 + 46 = 0
0 + 4x = 7 + 46
4x = 7 + 46

Combine like terms: 7 + 46 = 53
4x = 53

Divide each side by '4'.
x = 13.25

Simplifying
x = 13.25

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