4x+74=10x-10

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Solution for 4x+74=10x-10 equation:


Simplifying
4x + 74 = 10x + -10

Reorder the terms:
74 + 4x = 10x + -10

Reorder the terms:
74 + 4x = -10 + 10x

Solving
74 + 4x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
74 + 4x + -10x = -10 + 10x + -10x

Combine like terms: 4x + -10x = -6x
74 + -6x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
74 + -6x = -10 + 0
74 + -6x = -10

Add '-74' to each side of the equation.
74 + -74 + -6x = -10 + -74

Combine like terms: 74 + -74 = 0
0 + -6x = -10 + -74
-6x = -10 + -74

Combine like terms: -10 + -74 = -84
-6x = -84

Divide each side by '-6'.
x = 14

Simplifying
x = 14

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