2(x-1)+3(x-2)=26

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Solution for 2(x-1)+3(x-2)=26 equation: 


Simplifying
2(x + -1) + 3(x + -2) = 26

Reorder the terms:
2(-1 + x) + 3(x + -2) = 26
(-1 * 2 + x * 2) + 3(x + -2) = 26
(-2 + 2x) + 3(x + -2) = 26

Reorder the terms:
-2 + 2x + 3(-2 + x) = 26
-2 + 2x + (-2 * 3 + x * 3) = 26
-2 + 2x + (-6 + 3x) = 26

Reorder the terms:
-2 + -6 + 2x + 3x = 26

Combine like terms: -2 + -6 = -8
-8 + 2x + 3x = 26

Combine like terms: 2x + 3x = 5x
-8 + 5x = 26

Solving
-8 + 5x = 26

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 = 26 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 26 + 8
5x = 26 + 8

Combine like terms: 26 + 8 = 34
5x = 34

Divide each side by '5'.
x = 6.8

Simplifying
x = 6.8

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