4x+48=7x-6

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Solution for 4x+48=7x-6 equation:


Simplifying
4x + 48 = 7x + -6

Reorder the terms:
48 + 4x = 7x + -6

Reorder the terms:
48 + 4x = -6 + 7x

Solving
48 + 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.
48 + 4x + -7x = -6 + 7x + -7x

Combine like terms: 4x + -7x = -3x
48 + -3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -3x = -6 + 0
48 + -3x = -6

Add '-48' to each side of the equation.
48 + -48 + -3x = -6 + -48

Combine like terms: 48 + -48 = 0
0 + -3x = -6 + -48
-3x = -6 + -48

Combine like terms: -6 + -48 = -54
-3x = -54

Divide each side by '-3'.
x = 18

Simplifying
x = 18

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