3(x-5)+2(14-3x)=7

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Solution for 3(x-5)+2(14-3x)=7 equation: 


Simplifying
3(x + -5) + 2(14 + -3x) = 7

Reorder the terms:
3(-5 + x) + 2(14 + -3x) = 7
(-5 * 3 + x * 3) + 2(14 + -3x) = 7
(-15 + 3x) + 2(14 + -3x) = 7
-15 + 3x + (14 * 2 + -3x * 2) = 7
-15 + 3x + (28 + -6x) = 7

Reorder the terms:
-15 + 28 + 3x + -6x = 7

Combine like terms: -15 + 28 = 13
13 + 3x + -6x = 7

Combine like terms: 3x + -6x = -3x
13 + -3x = 7

Solving
13 + -3x = 7

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -3x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -3x = 7 + -13
-3x = 7 + -13

Combine like terms: 7 + -13 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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