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

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


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

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

Combine like terms: 2x + 5x = 7x
-6 + 7x = 3(2x + -1)

Reorder the terms:
-6 + 7x = 3(-1 + 2x)
-6 + 7x = (-1 * 3 + 2x * 3)
-6 + 7x = (-3 + 6x)

Solving
-6 + 7x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 7x + -6x = -3 + 6x + -6x

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

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

Add '6' to each side of the equation.
-6 + 6 + 1x = -3 + 6

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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