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

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


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

Reorder the terms:
2(-5 + x) + 3(2x + -3) = 2
(-5 * 2 + x * 2) + 3(2x + -3) = 2
(-10 + 2x) + 3(2x + -3) = 2

Reorder the terms:
-10 + 2x + 3(-3 + 2x) = 2
-10 + 2x + (-3 * 3 + 2x * 3) = 2
-10 + 2x + (-9 + 6x) = 2

Reorder the terms:
-10 + -9 + 2x + 6x = 2

Combine like terms: -10 + -9 = -19
-19 + 2x + 6x = 2

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

Solving
-19 + 8x = 2

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 = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 8x = 2 + 19
8x = 2 + 19

Combine like terms: 2 + 19 = 21
8x = 21

Divide each side by '8'.
x = 2.625

Simplifying
x = 2.625

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