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

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


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

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

Reorder the terms:
-1 + 3x = 4(-3 + 2x)
-1 + 3x = (-3 * 4 + 2x * 4)
-1 + 3x = (-12 + 8x)

Solving
-1 + 3x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 3x + -8x = -12 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = -12 + 0
-1 + -5x = -12

Add '1' to each side of the equation.
-1 + 1 + -5x = -12 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -12 + 1
-5x = -12 + 1

Combine like terms: -12 + 1 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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