1(3x-4)=2(3x-6)+1

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Solution for 1(3x-4)=2(3x-6)+1 equation:


Simplifying
1(3x + -4) = 2(3x + -6) + 1

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

Reorder the terms:
-4 + 3x = 2(-6 + 3x) + 1
-4 + 3x = (-6 * 2 + 3x * 2) + 1
-4 + 3x = (-12 + 6x) + 1

Reorder the terms:
-4 + 3x = -12 + 1 + 6x

Combine like terms: -12 + 1 = -11
-4 + 3x = -11 + 6x

Solving
-4 + 3x = -11 + 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.
-4 + 3x + -6x = -11 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-4 + -3x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -3x = -11 + 0
-4 + -3x = -11

Add '4' to each side of the equation.
-4 + 4 + -3x = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -11 + 4
-3x = -11 + 4

Combine like terms: -11 + 4 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

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