4(x+10)=8x-2

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


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

Reorder the terms:
4(10 + x) = 8x + -2
(10 * 4 + x * 4) = 8x + -2
(40 + 4x) = 8x + -2

Reorder the terms:
40 + 4x = -2 + 8x

Solving
40 + 4x = -2 + 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.
40 + 4x + -8x = -2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
40 + -4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
40 + -4x = -2 + 0
40 + -4x = -2

Add '-40' to each side of the equation.
40 + -40 + -4x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -4x = -2 + -40
-4x = -2 + -40

Combine like terms: -2 + -40 = -42
-4x = -42

Divide each side by '-4'.
x = 10.5

Simplifying
x = 10.5

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