3(x+9)=4x-13

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


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

Reorder the terms:
3(9 + x) = 4x + -13
(9 * 3 + x * 3) = 4x + -13
(27 + 3x) = 4x + -13

Reorder the terms:
27 + 3x = -13 + 4x

Solving
27 + 3x = -13 + 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.
27 + 3x + -4x = -13 + 4x + -4x

Combine like terms: 3x + -4x = -1x
27 + -1x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + -1x = -13 + 0
27 + -1x = -13

Add '-27' to each side of the equation.
27 + -27 + -1x = -13 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = -13 + -27
-1x = -13 + -27

Combine like terms: -13 + -27 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

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