3x+42=4(x+8)

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Solution for 3x+42=4(x+8) equation: 


Simplifying
3x + 42 = 4(x + 8)

Reorder the terms:
42 + 3x = 4(x + 8)

Reorder the terms:
42 + 3x = 4(8 + x)
42 + 3x = (8 * 4 + x * 4)
42 + 3x = (32 + 4x)

Solving
42 + 3x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
42 + 3x + -4x = 32 + 4x + -4x

Combine like terms: 3x + -4x = -1x
42 + -1x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + -1x = 32 + 0
42 + -1x = 32

Add '-42' to each side of the equation.
42 + -42 + -1x = 32 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 32 + -42
-1x = 32 + -42

Combine like terms: 32 + -42 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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