4x+29=14x-71

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Solution for 4x+29=14x-71 equation:


Simplifying
4x + 29 = 14x + -71

Reorder the terms:
29 + 4x = 14x + -71

Reorder the terms:
29 + 4x = -71 + 14x

Solving
29 + 4x = -71 + 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.
29 + 4x + -14x = -71 + 14x + -14x

Combine like terms: 4x + -14x = -10x
29 + -10x = -71 + 14x + -14x

Combine like terms: 14x + -14x = 0
29 + -10x = -71 + 0
29 + -10x = -71

Add '-29' to each side of the equation.
29 + -29 + -10x = -71 + -29

Combine like terms: 29 + -29 = 0
0 + -10x = -71 + -29
-10x = -71 + -29

Combine like terms: -71 + -29 = -100
-10x = -100

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

Simplifying
x = 10

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