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

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


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

Reorder the terms:
5(-3 + x) + -2(2x + -1) = 3
(-3 * 5 + x * 5) + -2(2x + -1) = 3
(-15 + 5x) + -2(2x + -1) = 3

Reorder the terms:
-15 + 5x + -2(-1 + 2x) = 3
-15 + 5x + (-1 * -2 + 2x * -2) = 3
-15 + 5x + (2 + -4x) = 3

Reorder the terms:
-15 + 2 + 5x + -4x = 3

Combine like terms: -15 + 2 = -13
-13 + 5x + -4x = 3

Combine like terms: 5x + -4x = 1x
-13 + 1x = 3

Solving
-13 + 1x = 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 + 1x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 3 + 13
1x = 3 + 13

Combine like terms: 3 + 13 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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