2(x-7)=8x+10

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


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

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

Reorder the terms:
-14 + 2x = 10 + 8x

Solving
-14 + 2x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 2x + -8x = 10 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-14 + -6x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + -6x = 10 + 0
-14 + -6x = 10

Add '14' to each side of the equation.
-14 + 14 + -6x = 10 + 14

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

Combine like terms: 10 + 14 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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