4x-11=7x+20

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Solution for 4x-11=7x+20 equation:


Simplifying
4x + -11 = 7x + 20

Reorder the terms:
-11 + 4x = 7x + 20

Reorder the terms:
-11 + 4x = 20 + 7x

Solving
-11 + 4x = 20 + 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.
-11 + 4x + -7x = 20 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-11 + -3x = 20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -3x = 20 + 0
-11 + -3x = 20

Add '11' to each side of the equation.
-11 + 11 + -3x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 20 + 11
-3x = 20 + 11

Combine like terms: 20 + 11 = 31
-3x = 31

Divide each side by '-3'.
x = -10.33333333

Simplifying
x = -10.33333333

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