2x+11=7x-4

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Solution for 2x+11=7x-4 equation:


Simplifying
2x + 11 = 7x + -4

Reorder the terms:
11 + 2x = 7x + -4

Reorder the terms:
11 + 2x = -4 + 7x

Solving
11 + 2x = -4 + 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 + 2x + -7x = -4 + 7x + -7x

Combine like terms: 2x + -7x = -5x
11 + -5x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -5x = -4 + 0
11 + -5x = -4

Add '-11' to each side of the equation.
11 + -11 + -5x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = -4 + -11
-5x = -4 + -11

Combine like terms: -4 + -11 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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