3(3+13)-15=4(x-2)-9

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Solution for 3(3+13)-15=4(x-2)-9 equation: 


Simplifying
3(3 + 13) + -15 = 4(x + -2) + -9

Combine like terms: 3 + 13 = 16
3(16) + -15 = 4(x + -2) + -9

Multiply 3 * 16
48 + -15 = 4(x + -2) + -9

Combine like terms: 48 + -15 = 33
33 = 4(x + -2) + -9

Reorder the terms:
33 = 4(-2 + x) + -9
33 = (-2 * 4 + x * 4) + -9
33 = (-8 + 4x) + -9

Reorder the terms:
33 = -8 + -9 + 4x

Combine like terms: -8 + -9 = -17
33 = -17 + 4x

Solving
33 = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
33 + -4x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
33 + -4x = -17 + 0
33 + -4x = -17

Add '-33' to each side of the equation.
33 + -33 + -4x = -17 + -33

Combine like terms: 33 + -33 = 0
0 + -4x = -17 + -33
-4x = -17 + -33

Combine like terms: -17 + -33 = -50
-4x = -50

Divide each side by '-4'.
x = 12.5

Simplifying
x = 12.5

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