4x+277=14x-13

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Solution for 4x+277=14x-13 equation:


Simplifying
4x + 277 = 14x + -13

Reorder the terms:
277 + 4x = 14x + -13

Reorder the terms:
277 + 4x = -13 + 14x

Solving
277 + 4x = -13 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
277 + 4x + -14x = -13 + 14x + -14x

Combine like terms: 4x + -14x = -10x
277 + -10x = -13 + 14x + -14x

Combine like terms: 14x + -14x = 0
277 + -10x = -13 + 0
277 + -10x = -13

Add '-277' to each side of the equation.
277 + -277 + -10x = -13 + -277

Combine like terms: 277 + -277 = 0
0 + -10x = -13 + -277
-10x = -13 + -277

Combine like terms: -13 + -277 = -290
-10x = -290

Divide each side by '-10'.
x = 29

Simplifying
x = 29

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