3(3x-7)-5(x+3)=x+12

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Solution for 3(3x-7)-5(x+3)=x+12 equation:


Simplifying
3(3x + -7) + -5(x + 3) = x + 12

Reorder the terms:
3(-7 + 3x) + -5(x + 3) = x + 12
(-7 * 3 + 3x * 3) + -5(x + 3) = x + 12
(-21 + 9x) + -5(x + 3) = x + 12

Reorder the terms:
-21 + 9x + -5(3 + x) = x + 12
-21 + 9x + (3 * -5 + x * -5) = x + 12
-21 + 9x + (-15 + -5x) = x + 12

Reorder the terms:
-21 + -15 + 9x + -5x = x + 12

Combine like terms: -21 + -15 = -36
-36 + 9x + -5x = x + 12

Combine like terms: 9x + -5x = 4x
-36 + 4x = x + 12

Reorder the terms:
-36 + 4x = 12 + x

Solving
-36 + 4x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-36 + 4x + -1x = 12 + x + -1x

Combine like terms: 4x + -1x = 3x
-36 + 3x = 12 + x + -1x

Combine like terms: x + -1x = 0
-36 + 3x = 12 + 0
-36 + 3x = 12

Add '36' to each side of the equation.
-36 + 36 + 3x = 12 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = 12 + 36
3x = 12 + 36

Combine like terms: 12 + 36 = 48
3x = 48

Divide each side by '3'.
x = 16

Simplifying
x = 16

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