3(x+7)-3=46-4x

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Solution for 3(x+7)-3=46-4x equation:


Simplifying
3(x + 7) + -3 = 46 + -4x

Reorder the terms:
3(7 + x) + -3 = 46 + -4x
(7 * 3 + x * 3) + -3 = 46 + -4x
(21 + 3x) + -3 = 46 + -4x

Reorder the terms:
21 + -3 + 3x = 46 + -4x

Combine like terms: 21 + -3 = 18
18 + 3x = 46 + -4x

Solving
18 + 3x = 46 + -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.
18 + 3x + 4x = 46 + -4x + 4x

Combine like terms: 3x + 4x = 7x
18 + 7x = 46 + -4x + 4x

Combine like terms: -4x + 4x = 0
18 + 7x = 46 + 0
18 + 7x = 46

Add '-18' to each side of the equation.
18 + -18 + 7x = 46 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 46 + -18
7x = 46 + -18

Combine like terms: 46 + -18 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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