2(x-1)+3(x-2)=7

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Solution for 2(x-1)+3(x-2)=7 equation: 


Simplifying
2(x + -1) + 3(x + -2) = 7

Reorder the terms:
2(-1 + x) + 3(x + -2) = 7
(-1 * 2 + x * 2) + 3(x + -2) = 7
(-2 + 2x) + 3(x + -2) = 7

Reorder the terms:
-2 + 2x + 3(-2 + x) = 7
-2 + 2x + (-2 * 3 + x * 3) = 7
-2 + 2x + (-6 + 3x) = 7

Reorder the terms:
-2 + -6 + 2x + 3x = 7

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = 7

Combine like terms: 2x + 3x = 5x
-8 + 5x = 7

Solving
-8 + 5x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 7 + 8
5x = 7 + 8

Combine like terms: 7 + 8 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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