3x+48=7(x+6)

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Solution for 3x+48=7(x+6) equation:


Simplifying
3x + 48 = 7(x + 6)

Reorder the terms:
48 + 3x = 7(x + 6)

Reorder the terms:
48 + 3x = 7(6 + x)
48 + 3x = (6 * 7 + x * 7)
48 + 3x = (42 + 7x)

Solving
48 + 3x = 42 + 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 + 3x + -7x = 42 + 7x + -7x

Combine like terms: 3x + -7x = -4x
48 + -4x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + -4x = 42 + 0
48 + -4x = 42

Add '-48' to each side of the equation.
48 + -48 + -4x = 42 + -48

Combine like terms: 48 + -48 = 0
0 + -4x = 42 + -48
-4x = 42 + -48

Combine like terms: 42 + -48 = -6
-4x = -6

Divide each side by '-4'.
x = 1.5

Simplifying
x = 1.5

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