10+3(5x+2)=-x

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Solution for 10+3(5x+2)=-x equation:


Simplifying
10 + 3(5x + 2) = -1x

Reorder the terms:
10 + 3(2 + 5x) = -1x
10 + (2 * 3 + 5x * 3) = -1x
10 + (6 + 15x) = -1x

Combine like terms: 10 + 6 = 16
16 + 15x = -1x

Solving
16 + 15x = -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.
16 + 15x + x = -1x + x

Combine like terms: 15x + x = 16x
16 + 16x = -1x + x

Combine like terms: -1x + x = 0
16 + 16x = 0

Add '-16' to each side of the equation.
16 + -16 + 16x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 16x = 0 + -16
16x = 0 + -16

Combine like terms: 0 + -16 = -16
16x = -16

Divide each side by '16'.
x = -1

Simplifying
x = -1

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