4x+89=7x-74

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Solution for 4x+89=7x-74 equation:


Simplifying
4x + 89 = 7x + -74

Reorder the terms:
89 + 4x = 7x + -74

Reorder the terms:
89 + 4x = -74 + 7x

Solving
89 + 4x = -74 + 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.
89 + 4x + -7x = -74 + 7x + -7x

Combine like terms: 4x + -7x = -3x
89 + -3x = -74 + 7x + -7x

Combine like terms: 7x + -7x = 0
89 + -3x = -74 + 0
89 + -3x = -74

Add '-89' to each side of the equation.
89 + -89 + -3x = -74 + -89

Combine like terms: 89 + -89 = 0
0 + -3x = -74 + -89
-3x = -74 + -89

Combine like terms: -74 + -89 = -163
-3x = -163

Divide each side by '-3'.
x = 54.33333333

Simplifying
x = 54.33333333

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