4x+74=7x-7

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Solution for 4x+74=7x-7 equation:


Simplifying
4x + 74 = 7x + -7

Reorder the terms:
74 + 4x = 7x + -7

Reorder the terms:
74 + 4x = -7 + 7x

Solving
74 + 4x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
74 + 4x + -7x = -7 + 7x + -7x

Combine like terms: 4x + -7x = -3x
74 + -3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
74 + -3x = -7 + 0
74 + -3x = -7

Add '-74' to each side of the equation.
74 + -74 + -3x = -7 + -74

Combine like terms: 74 + -74 = 0
0 + -3x = -7 + -74
-3x = -7 + -74

Combine like terms: -7 + -74 = -81
-3x = -81

Divide each side by '-3'.
x = 27

Simplifying
x = 27

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