4x+34=13x-33

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Solution for 4x+34=13x-33 equation:


Simplifying
4x + 34 = 13x + -33

Reorder the terms:
34 + 4x = 13x + -33

Reorder the terms:
34 + 4x = -33 + 13x

Solving
34 + 4x = -33 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
34 + 4x + -13x = -33 + 13x + -13x

Combine like terms: 4x + -13x = -9x
34 + -9x = -33 + 13x + -13x

Combine like terms: 13x + -13x = 0
34 + -9x = -33 + 0
34 + -9x = -33

Add '-34' to each side of the equation.
34 + -34 + -9x = -33 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = -33 + -34
-9x = -33 + -34

Combine like terms: -33 + -34 = -67
-9x = -67

Divide each side by '-9'.
x = 7.444444444

Simplifying
x = 7.444444444

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