4x+17=11x-53

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Solution for 4x+17=11x-53 equation:


Simplifying
4x + 17 = 11x + -53

Reorder the terms:
17 + 4x = 11x + -53

Reorder the terms:
17 + 4x = -53 + 11x

Solving
17 + 4x = -53 + 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.
17 + 4x + -11x = -53 + 11x + -11x

Combine like terms: 4x + -11x = -7x
17 + -7x = -53 + 11x + -11x

Combine like terms: 11x + -11x = 0
17 + -7x = -53 + 0
17 + -7x = -53

Add '-17' to each side of the equation.
17 + -17 + -7x = -53 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -53 + -17
-7x = -53 + -17

Combine like terms: -53 + -17 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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