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

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


Simplifying
10(x + 4) = 8x + -1(x + 2)

Reorder the terms:
10(4 + x) = 8x + -1(x + 2)
(4 * 10 + x * 10) = 8x + -1(x + 2)
(40 + 10x) = 8x + -1(x + 2)

Reorder the terms:
40 + 10x = 8x + -1(2 + x)
40 + 10x = 8x + (2 * -1 + x * -1)
40 + 10x = 8x + (-2 + -1x)

Reorder the terms:
40 + 10x = -2 + 8x + -1x

Combine like terms: 8x + -1x = 7x
40 + 10x = -2 + 7x

Solving
40 + 10x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
40 + 10x + -7x = -2 + 7x + -7x

Combine like terms: 10x + -7x = 3x
40 + 3x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
40 + 3x = -2 + 0
40 + 3x = -2

Add '-40' to each side of the equation.
40 + -40 + 3x = -2 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = -2 + -40
3x = -2 + -40

Combine like terms: -2 + -40 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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