3(2x-5)-2(x+6)=3

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Solution for 3(2x-5)-2(x+6)=3 equation:


Simplifying
3(2x + -5) + -2(x + 6) = 3

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

Reorder the terms:
-15 + 6x + -2(6 + x) = 3
-15 + 6x + (6 * -2 + x * -2) = 3
-15 + 6x + (-12 + -2x) = 3

Reorder the terms:
-15 + -12 + 6x + -2x = 3

Combine like terms: -15 + -12 = -27
-27 + 6x + -2x = 3

Combine like terms: 6x + -2x = 4x
-27 + 4x = 3

Solving
-27 + 4x = 3

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 4x = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = 3 + 27
4x = 3 + 27

Combine like terms: 3 + 27 = 30
4x = 30

Divide each side by '4'.
x = 7.5

Simplifying
x = 7.5

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