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

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


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

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

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

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

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

Solving
1 + 3x = -4 + 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 = -4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
1 + -5x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
1 + -5x = -4 + 0
1 + -5x = -4

Add '-1' to each side of the equation.
1 + -1 + -5x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -4 + -1
-5x = -4 + -1

Combine like terms: -4 + -1 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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