10*(x-3)-8*(7-2x)=60

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Solution for 10*(x-3)-8*(7-2x)=60 equation: 


Simplifying
10(x + -3) + -8(7 + -2x) = 60

Reorder the terms:
10(-3 + x) + -8(7 + -2x) = 60
(-3 * 10 + x * 10) + -8(7 + -2x) = 60
(-30 + 10x) + -8(7 + -2x) = 60
-30 + 10x + (7 * -8 + -2x * -8) = 60
-30 + 10x + (-56 + 16x) = 60

Reorder the terms:
-30 + -56 + 10x + 16x = 60

Combine like terms: -30 + -56 = -86
-86 + 10x + 16x = 60

Combine like terms: 10x + 16x = 26x
-86 + 26x = 60

Solving
-86 + 26x = 60

Solving for variable 'x'.

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

Add '86' to each side of the equation.
-86 + 86 + 26x = 60 + 86

Combine like terms: -86 + 86 = 0
0 + 26x = 60 + 86
26x = 60 + 86

Combine like terms: 60 + 86 = 146
26x = 146

Divide each side by '26'.
x = 5.615384615

Simplifying
x = 5.615384615

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