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

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Solution for x-2(x+1)=3x-10 equation:


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

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

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

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

Reorder the terms:
-2 + -1x = -10 + 3x

Solving
-2 + -1x = -10 + 3x

Solving for variable 'x'.

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

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

Combine like terms: -1x + -3x = -4x
-2 + -4x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -4x = -10 + 0
-2 + -4x = -10

Add '2' to each side of the equation.
-2 + 2 + -4x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -10 + 2
-4x = -10 + 2

Combine like terms: -10 + 2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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