2(x-3)+1(2x-5)=5

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Solution for 2(x-3)+1(2x-5)=5 equation: 


Simplifying
2(x + -3) + 1(2x + -5) = 5

Reorder the terms:
2(-3 + x) + 1(2x + -5) = 5
(-3 * 2 + x * 2) + 1(2x + -5) = 5
(-6 + 2x) + 1(2x + -5) = 5

Reorder the terms:
-6 + 2x + 1(-5 + 2x) = 5
-6 + 2x + (-5 * 1 + 2x * 1) = 5
-6 + 2x + (-5 + 2x) = 5

Reorder the terms:
-6 + -5 + 2x + 2x = 5

Combine like terms: -6 + -5 = -11
-11 + 2x + 2x = 5

Combine like terms: 2x + 2x = 4x
-11 + 4x = 5

Solving
-11 + 4x = 5

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 5 + 11
4x = 5 + 11

Combine like terms: 5 + 11 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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