4x+54=7x-6

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Solution for 4x+54=7x-6 equation:


Simplifying
4x + 54 = 7x + -6

Reorder the terms:
54 + 4x = 7x + -6

Reorder the terms:
54 + 4x = -6 + 7x

Solving
54 + 4x = -6 + 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.
54 + 4x + -7x = -6 + 7x + -7x

Combine like terms: 4x + -7x = -3x
54 + -3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
54 + -3x = -6 + 0
54 + -3x = -6

Add '-54' to each side of the equation.
54 + -54 + -3x = -6 + -54

Combine like terms: 54 + -54 = 0
0 + -3x = -6 + -54
-3x = -6 + -54

Combine like terms: -6 + -54 = -60
-3x = -60

Divide each side by '-3'.
x = 20

Simplifying
x = 20

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