5x+10=2-1(x+4)

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Solution for 5x+10=2-1(x+4) equation:


Simplifying
5x + 10 = 2 + -1(x + 4)

Reorder the terms:
10 + 5x = 2 + -1(x + 4)

Reorder the terms:
10 + 5x = 2 + -1(4 + x)
10 + 5x = 2 + (4 * -1 + x * -1)
10 + 5x = 2 + (-4 + -1x)

Combine like terms: 2 + -4 = -2
10 + 5x = -2 + -1x

Solving
10 + 5x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
10 + 5x + x = -2 + -1x + x

Combine like terms: 5x + x = 6x
10 + 6x = -2 + -1x + x

Combine like terms: -1x + x = 0
10 + 6x = -2 + 0
10 + 6x = -2

Add '-10' to each side of the equation.
10 + -10 + 6x = -2 + -10

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

Combine like terms: -2 + -10 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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