4x+27=7x-6

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Solution for 4x+27=7x-6 equation:


Simplifying
4x + 27 = 7x + -6

Reorder the terms:
27 + 4x = 7x + -6

Reorder the terms:
27 + 4x = -6 + 7x

Solving
27 + 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.
27 + 4x + -7x = -6 + 7x + -7x

Combine like terms: 4x + -7x = -3x
27 + -3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
27 + -3x = -6 + 0
27 + -3x = -6

Add '-27' to each side of the equation.
27 + -27 + -3x = -6 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = -6 + -27
-3x = -6 + -27

Combine like terms: -6 + -27 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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