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

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


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

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

Reorder the terms:
-3 + 3x + 2(-2 + x) = x + -3
-3 + 3x + (-2 * 2 + x * 2) = x + -3
-3 + 3x + (-4 + 2x) = x + -3

Reorder the terms:
-3 + -4 + 3x + 2x = x + -3

Combine like terms: -3 + -4 = -7
-7 + 3x + 2x = x + -3

Combine like terms: 3x + 2x = 5x
-7 + 5x = x + -3

Reorder the terms:
-7 + 5x = -3 + x

Solving
-7 + 5x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 5x + -1x = -3 + x + -1x

Combine like terms: 5x + -1x = 4x
-7 + 4x = -3 + x + -1x

Combine like terms: x + -1x = 0
-7 + 4x = -3 + 0
-7 + 4x = -3

Add '7' to each side of the equation.
-7 + 7 + 4x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = -3 + 7
4x = -3 + 7

Combine like terms: -3 + 7 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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