3x+11=7x+16

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Solution for 3x+11=7x+16 equation:


Simplifying
3x + 11 = 7x + 16

Reorder the terms:
11 + 3x = 7x + 16

Reorder the terms:
11 + 3x = 16 + 7x

Solving
11 + 3x = 16 + 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 + 3x + -7x = 16 + 7x + -7x

Combine like terms: 3x + -7x = -4x
11 + -4x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -4x = 16 + 0
11 + -4x = 16

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

Combine like terms: 11 + -11 = 0
0 + -4x = 16 + -11
-4x = 16 + -11

Combine like terms: 16 + -11 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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