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

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


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

Reorder the terms:
3(-9 + x) + 5 = 2(x + -1)
(-9 * 3 + x * 3) + 5 = 2(x + -1)
(-27 + 3x) + 5 = 2(x + -1)

Reorder the terms:
-27 + 5 + 3x = 2(x + -1)

Combine like terms: -27 + 5 = -22
-22 + 3x = 2(x + -1)

Reorder the terms:
-22 + 3x = 2(-1 + x)
-22 + 3x = (-1 * 2 + x * 2)
-22 + 3x = (-2 + 2x)

Solving
-22 + 3x = -2 + 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.
-22 + 3x + -2x = -2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-22 + 1x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 1x = -2 + 0
-22 + 1x = -2

Add '22' to each side of the equation.
-22 + 22 + 1x = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 1x = -2 + 22
1x = -2 + 22

Combine like terms: -2 + 22 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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