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

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


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

Reorder the terms:
2(-2 + x) + 3(2x + -5) = 5
(-2 * 2 + x * 2) + 3(2x + -5) = 5
(-4 + 2x) + 3(2x + -5) = 5

Reorder the terms:
-4 + 2x + 3(-5 + 2x) = 5
-4 + 2x + (-5 * 3 + 2x * 3) = 5
-4 + 2x + (-15 + 6x) = 5

Reorder the terms:
-4 + -15 + 2x + 6x = 5

Combine like terms: -4 + -15 = -19
-19 + 2x + 6x = 5

Combine like terms: 2x + 6x = 8x
-19 + 8x = 5

Solving
-19 + 8x = 5

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 8x = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 8x = 5 + 19
8x = 5 + 19

Combine like terms: 5 + 19 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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