3(x-6)-2(x+5)=7

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Solution for 3(x-6)-2(x+5)=7 equation: 


Simplifying
3(x + -6) + -2(x + 5) = 7

Reorder the terms:
3(-6 + x) + -2(x + 5) = 7
(-6 * 3 + x * 3) + -2(x + 5) = 7
(-18 + 3x) + -2(x + 5) = 7

Reorder the terms:
-18 + 3x + -2(5 + x) = 7
-18 + 3x + (5 * -2 + x * -2) = 7
-18 + 3x + (-10 + -2x) = 7

Reorder the terms:
-18 + -10 + 3x + -2x = 7

Combine like terms: -18 + -10 = -28
-28 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
-28 + 1x = 7

Solving
-28 + 1x = 7

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 1x = 7 + 28

Combine like terms: -28 + 28 = 0
0 + 1x = 7 + 28
1x = 7 + 28

Combine like terms: 7 + 28 = 35
1x = 35

Divide each side by '1'.
x = 35

Simplifying
x = 35

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