3(2x-1)+9=4x+2(5-x)

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Solution for 3(2x-1)+9=4x+2(5-x) equation:


Simplifying
3(2x + -1) + 9 = 4x + 2(5 + -1x)

Reorder the terms:
3(-1 + 2x) + 9 = 4x + 2(5 + -1x)
(-1 * 3 + 2x * 3) + 9 = 4x + 2(5 + -1x)
(-3 + 6x) + 9 = 4x + 2(5 + -1x)

Reorder the terms:
-3 + 9 + 6x = 4x + 2(5 + -1x)

Combine like terms: -3 + 9 = 6
6 + 6x = 4x + 2(5 + -1x)
6 + 6x = 4x + (5 * 2 + -1x * 2)
6 + 6x = 4x + (10 + -2x)

Reorder the terms:
6 + 6x = 10 + 4x + -2x

Combine like terms: 4x + -2x = 2x
6 + 6x = 10 + 2x

Solving
6 + 6x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = 10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 10 + 0
6 + 4x = 10

Add '-6' to each side of the equation.
6 + -6 + 4x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 10 + -6
4x = 10 + -6

Combine like terms: 10 + -6 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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