4x+16=11x-47

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Solution for 4x+16=11x-47 equation:


Simplifying
4x + 16 = 11x + -47

Reorder the terms:
16 + 4x = 11x + -47

Reorder the terms:
16 + 4x = -47 + 11x

Solving
16 + 4x = -47 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
16 + 4x + -11x = -47 + 11x + -11x

Combine like terms: 4x + -11x = -7x
16 + -7x = -47 + 11x + -11x

Combine like terms: 11x + -11x = 0
16 + -7x = -47 + 0
16 + -7x = -47

Add '-16' to each side of the equation.
16 + -16 + -7x = -47 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = -47 + -16
-7x = -47 + -16

Combine like terms: -47 + -16 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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