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

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


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

Reorder the terms:
1 + 3x = 2(-4 + 3x)
1 + 3x = (-4 * 2 + 3x * 2)
1 + 3x = (-8 + 6x)

Solving
1 + 3x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 3x + -6x = -8 + 6x + -6x

Combine like terms: 3x + -6x = -3x
1 + -3x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -3x = -8 + 0
1 + -3x = -8

Add '-1' to each side of the equation.
1 + -1 + -3x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -8 + -1
-3x = -8 + -1

Combine like terms: -8 + -1 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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