3x-15=-4x+34

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Solution for 3x-15=-4x+34 equation:


Simplifying
3x + -15 = -4x + 34

Reorder the terms:
-15 + 3x = -4x + 34

Reorder the terms:
-15 + 3x = 34 + -4x

Solving
-15 + 3x = 34 + -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.
-15 + 3x + 4x = 34 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-15 + 7x = 34 + -4x + 4x

Combine like terms: -4x + 4x = 0
-15 + 7x = 34 + 0
-15 + 7x = 34

Add '15' to each side of the equation.
-15 + 15 + 7x = 34 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 34 + 15
7x = 34 + 15

Combine like terms: 34 + 15 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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