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

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


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

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

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

Remove parenthesis around (-3 + x)
-6 + 3x + -3 + x = 2(x + -1)

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

Combine like terms: -6 + -3 = -9
-9 + 3x + x = 2(x + -1)

Combine like terms: 3x + x = 4x
-9 + 4x = 2(x + -1)

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

Solving
-9 + 4x = -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.
-9 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-9 + 2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 2x = -2 + 0
-9 + 2x = -2

Add '9' to each side of the equation.
-9 + 9 + 2x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -2 + 9
2x = -2 + 9

Combine like terms: -2 + 9 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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