8(x-4)=2x+10

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


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

Reorder the terms:
8(-4 + x) = 2x + 10
(-4 * 8 + x * 8) = 2x + 10
(-32 + 8x) = 2x + 10

Reorder the terms:
-32 + 8x = 10 + 2x

Solving
-32 + 8x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 8x + -2x = 10 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-32 + 6x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 6x = 10 + 0
-32 + 6x = 10

Add '32' to each side of the equation.
-32 + 32 + 6x = 10 + 32

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

Combine like terms: 10 + 32 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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