3(x-15)+2(14-3x)=7

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Solution for 3(x-15)+2(14-3x)=7 equation: 


Simplifying
3(x + -15) + 2(14 + -3x) = 7

Reorder the terms:
3(-15 + x) + 2(14 + -3x) = 7
(-15 * 3 + x * 3) + 2(14 + -3x) = 7
(-45 + 3x) + 2(14 + -3x) = 7
-45 + 3x + (14 * 2 + -3x * 2) = 7
-45 + 3x + (28 + -6x) = 7

Reorder the terms:
-45 + 28 + 3x + -6x = 7

Combine like terms: -45 + 28 = -17
-17 + 3x + -6x = 7

Combine like terms: 3x + -6x = -3x
-17 + -3x = 7

Solving
-17 + -3x = 7

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + -3x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = 7 + 17
-3x = 7 + 17

Combine like terms: 7 + 17 = 24
-3x = 24

Divide each side by '-3'.
x = -8

Simplifying
x = -8

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