2(3x-1)=5(x+1)

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Solution for 2(3x-1)=5(x+1) equation:


Simplifying
2(3x + -1) = 5(x + 1)

Reorder the terms:
2(-1 + 3x) = 5(x + 1)
(-1 * 2 + 3x * 2) = 5(x + 1)
(-2 + 6x) = 5(x + 1)

Reorder the terms:
-2 + 6x = 5(1 + x)
-2 + 6x = (1 * 5 + x * 5)
-2 + 6x = (5 + 5x)

Solving
-2 + 6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 6x + -5x = 5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-2 + 1x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 1x = 5 + 0
-2 + 1x = 5

Add '2' to each side of the equation.
-2 + 2 + 1x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 5 + 2
1x = 5 + 2

Combine like terms: 5 + 2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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