4x+189=11x-14

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Solution for 4x+189=11x-14 equation:


Simplifying
4x + 189 = 11x + -14

Reorder the terms:
189 + 4x = 11x + -14

Reorder the terms:
189 + 4x = -14 + 11x

Solving
189 + 4x = -14 + 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.
189 + 4x + -11x = -14 + 11x + -11x

Combine like terms: 4x + -11x = -7x
189 + -7x = -14 + 11x + -11x

Combine like terms: 11x + -11x = 0
189 + -7x = -14 + 0
189 + -7x = -14

Add '-189' to each side of the equation.
189 + -189 + -7x = -14 + -189

Combine like terms: 189 + -189 = 0
0 + -7x = -14 + -189
-7x = -14 + -189

Combine like terms: -14 + -189 = -203
-7x = -203

Divide each side by '-7'.
x = 29

Simplifying
x = 29

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