4(x+4)+9=-3x+46

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Solution for 4(x+4)+9=-3x+46 equation:


Simplifying
4(x + 4) + 9 = -3x + 46

Reorder the terms:
4(4 + x) + 9 = -3x + 46
(4 * 4 + x * 4) + 9 = -3x + 46
(16 + 4x) + 9 = -3x + 46

Reorder the terms:
16 + 9 + 4x = -3x + 46

Combine like terms: 16 + 9 = 25
25 + 4x = -3x + 46

Reorder the terms:
25 + 4x = 46 + -3x

Solving
25 + 4x = 46 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
25 + 4x + 3x = 46 + -3x + 3x

Combine like terms: 4x + 3x = 7x
25 + 7x = 46 + -3x + 3x

Combine like terms: -3x + 3x = 0
25 + 7x = 46 + 0
25 + 7x = 46

Add '-25' to each side of the equation.
25 + -25 + 7x = 46 + -25

Combine like terms: 25 + -25 = 0
0 + 7x = 46 + -25
7x = 46 + -25

Combine like terms: 46 + -25 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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