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

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Solution for 5x-3(x+1)=x-10 equation:


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

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

Reorder the terms:
-3 + 5x + -3x = x + -10

Combine like terms: 5x + -3x = 2x
-3 + 2x = x + -10

Reorder the terms:
-3 + 2x = -10 + x

Solving
-3 + 2x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 2x + -1x = -10 + x + -1x

Combine like terms: 2x + -1x = 1x
-3 + 1x = -10 + x + -1x

Combine like terms: x + -1x = 0
-3 + 1x = -10 + 0
-3 + 1x = -10

Add '3' to each side of the equation.
-3 + 3 + 1x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -10 + 3
1x = -10 + 3

Combine like terms: -10 + 3 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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