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

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


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

Reorder the terms:
2(-2 + x) + 3(x + -1) = 0
(-2 * 2 + x * 2) + 3(x + -1) = 0
(-4 + 2x) + 3(x + -1) = 0

Reorder the terms:
-4 + 2x + 3(-1 + x) = 0
-4 + 2x + (-1 * 3 + x * 3) = 0
-4 + 2x + (-3 + 3x) = 0

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

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

Combine like terms: 2x + 3x = 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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