5(x+6)+3(x+2)=7(3-x)

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Solution for 5(x+6)+3(x+2)=7(3-x) equation:


Simplifying
5(x + 6) + 3(x + 2) = 7(3 + -1x)

Reorder the terms:
5(6 + x) + 3(x + 2) = 7(3 + -1x)
(6 * 5 + x * 5) + 3(x + 2) = 7(3 + -1x)
(30 + 5x) + 3(x + 2) = 7(3 + -1x)

Reorder the terms:
30 + 5x + 3(2 + x) = 7(3 + -1x)
30 + 5x + (2 * 3 + x * 3) = 7(3 + -1x)
30 + 5x + (6 + 3x) = 7(3 + -1x)

Reorder the terms:
30 + 6 + 5x + 3x = 7(3 + -1x)

Combine like terms: 30 + 6 = 36
36 + 5x + 3x = 7(3 + -1x)

Combine like terms: 5x + 3x = 8x
36 + 8x = 7(3 + -1x)
36 + 8x = (3 * 7 + -1x * 7)
36 + 8x = (21 + -7x)

Solving
36 + 8x = 21 + -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.
36 + 8x + 7x = 21 + -7x + 7x

Combine like terms: 8x + 7x = 15x
36 + 15x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
36 + 15x = 21 + 0
36 + 15x = 21

Add '-36' to each side of the equation.
36 + -36 + 15x = 21 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = 21 + -36
15x = 21 + -36

Combine like terms: 21 + -36 = -15
15x = -15

Divide each side by '15'.
x = -1

Simplifying
x = -1

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