7(3x+6)=25-(x+16)

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Solution for 7(3x+6)=25-(x+16) equation: 


Simplifying
7(3x + 6) = 25 + -1(x + 16)

Reorder the terms:
7(6 + 3x) = 25 + -1(x + 16)
(6 * 7 + 3x * 7) = 25 + -1(x + 16)
(42 + 21x) = 25 + -1(x + 16)

Reorder the terms:
42 + 21x = 25 + -1(16 + x)
42 + 21x = 25 + (16 * -1 + x * -1)
42 + 21x = 25 + (-16 + -1x)

Combine like terms: 25 + -16 = 9
42 + 21x = 9 + -1x

Solving
42 + 21x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
42 + 21x + x = 9 + -1x + x

Combine like terms: 21x + x = 22x
42 + 22x = 9 + -1x + x

Combine like terms: -1x + x = 0
42 + 22x = 9 + 0
42 + 22x = 9

Add '-42' to each side of the equation.
42 + -42 + 22x = 9 + -42

Combine like terms: 42 + -42 = 0
0 + 22x = 9 + -42
22x = 9 + -42

Combine like terms: 9 + -42 = -33
22x = -33

Divide each side by '22'.
x = -1.5

Simplifying
x = -1.5

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