10-2(4x-7)=8

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Solution for 10-2(4x-7)=8 equation:


Simplifying
10 + -2(4x + -7) = 8

Reorder the terms:
10 + -2(-7 + 4x) = 8
10 + (-7 * -2 + 4x * -2) = 8
10 + (14 + -8x) = 8

Combine like terms: 10 + 14 = 24
24 + -8x = 8

Solving
24 + -8x = 8

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -8x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = 8 + -24
-8x = 8 + -24

Combine like terms: 8 + -24 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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