4x+36=7x-6

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Solution for 4x+36=7x-6 equation:


Simplifying
4x + 36 = 7x + -6

Reorder the terms:
36 + 4x = 7x + -6

Reorder the terms:
36 + 4x = -6 + 7x

Solving
36 + 4x = -6 + 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.
36 + 4x + -7x = -6 + 7x + -7x

Combine like terms: 4x + -7x = -3x
36 + -3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
36 + -3x = -6 + 0
36 + -3x = -6

Add '-36' to each side of the equation.
36 + -36 + -3x = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = -6 + -36
-3x = -6 + -36

Combine like terms: -6 + -36 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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