4x+34=7x-10

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Solution for 4x+34=7x-10 equation:


Simplifying
4x + 34 = 7x + -10

Reorder the terms:
34 + 4x = 7x + -10

Reorder the terms:
34 + 4x = -10 + 7x

Solving
34 + 4x = -10 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
34 + 4x + -7x = -10 + 7x + -7x

Combine like terms: 4x + -7x = -3x
34 + -3x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
34 + -3x = -10 + 0
34 + -3x = -10

Add '-34' to each side of the equation.
34 + -34 + -3x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + -3x = -10 + -34
-3x = -10 + -34

Combine like terms: -10 + -34 = -44
-3x = -44

Divide each side by '-3'.
x = 14.66666667

Simplifying
x = 14.66666667

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