3(x-1)+2(x-2)=0

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Solution for 3(x-1)+2(x-2)=0 equation:


Simplifying
3(x + -1) + 2(x + -2) = 0

Reorder the terms:
3(-1 + x) + 2(x + -2) = 0
(-1 * 3 + x * 3) + 2(x + -2) = 0
(-3 + 3x) + 2(x + -2) = 0

Reorder the terms:
-3 + 3x + 2(-2 + x) = 0
-3 + 3x + (-2 * 2 + x * 2) = 0
-3 + 3x + (-4 + 2x) = 0

Reorder the terms:
-3 + -4 + 3x + 2x = 0

Combine like terms: -3 + -4 = -7
-7 + 3x + 2x = 0

Combine like terms: 3x + 2x = 5x
-7 + 5x = 0

Solving
-7 + 5x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 0 + 7
5x = 0 + 7

Combine like terms: 0 + 7 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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