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

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


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

Reorder the terms:
3(-1 + 2x) + -2(5 + -1x) = 3
(-1 * 3 + 2x * 3) + -2(5 + -1x) = 3
(-3 + 6x) + -2(5 + -1x) = 3
-3 + 6x + (5 * -2 + -1x * -2) = 3
-3 + 6x + (-10 + 2x) = 3

Reorder the terms:
-3 + -10 + 6x + 2x = 3

Combine like terms: -3 + -10 = -13
-13 + 6x + 2x = 3

Combine like terms: 6x + 2x = 8x
-13 + 8x = 3

Solving
-13 + 8x = 3

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 3 + 13
8x = 3 + 13

Combine like terms: 3 + 13 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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