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

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


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

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

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

Combine like terms: 3 + -1 = 2
2 + 6x = 4(x + 1)

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

Solving
2 + 6x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
2 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 2x = 4 + 0
2 + 2x = 4

Add '-2' to each side of the equation.
2 + -2 + 2x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 4 + -2
2x = 4 + -2

Combine like terms: 4 + -2 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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