3x+4=10x-39

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Solution for 3x+4=10x-39 equation:


Simplifying
3x + 4 = 10x + -39

Reorder the terms:
4 + 3x = 10x + -39

Reorder the terms:
4 + 3x = -39 + 10x

Solving
4 + 3x = -39 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 3x + -10x = -39 + 10x + -10x

Combine like terms: 3x + -10x = -7x
4 + -7x = -39 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -7x = -39 + 0
4 + -7x = -39

Add '-4' to each side of the equation.
4 + -4 + -7x = -39 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -39 + -4
-7x = -39 + -4

Combine like terms: -39 + -4 = -43
-7x = -43

Divide each side by '-7'.
x = 6.142857143

Simplifying
x = 6.142857143

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