7x+11=3x-53

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Solution for 7x+11=3x-53 equation:


Simplifying
7x + 11 = 3x + -53

Reorder the terms:
11 + 7x = 3x + -53

Reorder the terms:
11 + 7x = -53 + 3x

Solving
11 + 7x = -53 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 7x + -3x = -53 + 3x + -3x

Combine like terms: 7x + -3x = 4x
11 + 4x = -53 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 4x = -53 + 0
11 + 4x = -53

Add '-11' to each side of the equation.
11 + -11 + 4x = -53 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = -53 + -11
4x = -53 + -11

Combine like terms: -53 + -11 = -64
4x = -64

Divide each side by '4'.
x = -16

Simplifying
x = -16

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