3x-2(x+1)=5x-6

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Solution for 3x-2(x+1)=5x-6 equation:


Simplifying
3x + -2(x + 1) = 5x + -6

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

Reorder the terms:
-2 + 3x + -2x = 5x + -6

Combine like terms: 3x + -2x = 1x
-2 + 1x = 5x + -6

Reorder the terms:
-2 + 1x = -6 + 5x

Solving
-2 + 1x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 1x + -5x = -6 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-2 + -4x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -4x = -6 + 0
-2 + -4x = -6

Add '2' to each side of the equation.
-2 + 2 + -4x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -6 + 2
-4x = -6 + 2

Combine like terms: -6 + 2 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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