2[7-8x]=32-10x

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Solution for 2[7-8x]=32-10x equation:


Simplifying
2[7 + -8x] = 32 + -10x
[7 * 2 + -8x * 2] = 32 + -10x
[14 + -16x] = 32 + -10x

Solving
14 + -16x = 32 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
14 + -16x + 10x = 32 + -10x + 10x

Combine like terms: -16x + 10x = -6x
14 + -6x = 32 + -10x + 10x

Combine like terms: -10x + 10x = 0
14 + -6x = 32 + 0
14 + -6x = 32

Add '-14' to each side of the equation.
14 + -14 + -6x = 32 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = 32 + -14
-6x = 32 + -14

Combine like terms: 32 + -14 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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