1+2(x-3)=3x-11

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Solution for 1+2(x-3)=3x-11 equation:


Simplifying
1 + 2(x + -3) = 3x + -11

Reorder the terms:
1 + 2(-3 + x) = 3x + -11
1 + (-3 * 2 + x * 2) = 3x + -11
1 + (-6 + 2x) = 3x + -11

Combine like terms: 1 + -6 = -5
-5 + 2x = 3x + -11

Reorder the terms:
-5 + 2x = -11 + 3x

Solving
-5 + 2x = -11 + 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.
-5 + 2x + -3x = -11 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = -11 + 0
-5 + -1x = -11

Add '5' to each side of the equation.
-5 + 5 + -1x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -11 + 5
-1x = -11 + 5

Combine like terms: -11 + 5 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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