8(2x-1)-2(7x-5)=10

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Solution for 8(2x-1)-2(7x-5)=10 equation: 


Simplifying
8(2x + -1) + -2(7x + -5) = 10

Reorder the terms:
8(-1 + 2x) + -2(7x + -5) = 10
(-1 * 8 + 2x * 8) + -2(7x + -5) = 10
(-8 + 16x) + -2(7x + -5) = 10

Reorder the terms:
-8 + 16x + -2(-5 + 7x) = 10
-8 + 16x + (-5 * -2 + 7x * -2) = 10
-8 + 16x + (10 + -14x) = 10

Reorder the terms:
-8 + 10 + 16x + -14x = 10

Combine like terms: -8 + 10 = 2
2 + 16x + -14x = 10

Combine like terms: 16x + -14x = 2x
2 + 2x = 10

Solving
2 + 2x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 10 + -2
2x = 10 + -2

Combine like terms: 10 + -2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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