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

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


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

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

Reorder the terms:
-15 + 6x = 2(6 + x) + -5
-15 + 6x = (6 * 2 + x * 2) + -5
-15 + 6x = (12 + 2x) + -5

Reorder the terms:
-15 + 6x = 12 + -5 + 2x

Combine like terms: 12 + -5 = 7
-15 + 6x = 7 + 2x

Solving
-15 + 6x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 6x + -2x = 7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-15 + 4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 4x = 7 + 0
-15 + 4x = 7

Add '15' to each side of the equation.
-15 + 15 + 4x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 7 + 15
4x = 7 + 15

Combine like terms: 7 + 15 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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