1+2x=3(x-4)+2

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Solution for 1+2x=3(x-4)+2 equation:


Simplifying
1 + 2x = 3(x + -4) + 2

Reorder the terms:
1 + 2x = 3(-4 + x) + 2
1 + 2x = (-4 * 3 + x * 3) + 2
1 + 2x = (-12 + 3x) + 2

Reorder the terms:
1 + 2x = -12 + 2 + 3x

Combine like terms: -12 + 2 = -10
1 + 2x = -10 + 3x

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

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

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

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

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

Combine like terms: -10 + -1 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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