4x-1=3(2-x)

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


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

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

Solving
-1 + 4x = 6 + -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 + 4x + 3x = 6 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-1 + 7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 7x = 6 + 0
-1 + 7x = 6

Add '1' to each side of the equation.
-1 + 1 + 7x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 7x = 6 + 1
7x = 6 + 1

Combine like terms: 6 + 1 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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