3(2x-5)-2(x-3)=11

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Solution for 3(2x-5)-2(x-3)=11 equation:


Simplifying
3(2x + -5) + -2(x + -3) = 11

Reorder the terms:
3(-5 + 2x) + -2(x + -3) = 11
(-5 * 3 + 2x * 3) + -2(x + -3) = 11
(-15 + 6x) + -2(x + -3) = 11

Reorder the terms:
-15 + 6x + -2(-3 + x) = 11
-15 + 6x + (-3 * -2 + x * -2) = 11
-15 + 6x + (6 + -2x) = 11

Reorder the terms:
-15 + 6 + 6x + -2x = 11

Combine like terms: -15 + 6 = -9
-9 + 6x + -2x = 11

Combine like terms: 6x + -2x = 4x
-9 + 4x = 11

Solving
-9 + 4x = 11

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 11 + 9
4x = 11 + 9

Combine like terms: 11 + 9 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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