15+3(x+2)=-7x+2(x+1)

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Solution for 15+3(x+2)=-7x+2(x+1) equation:


Simplifying
15 + 3(x + 2) = -7x + 2(x + 1)

Reorder the terms:
15 + 3(2 + x) = -7x + 2(x + 1)
15 + (2 * 3 + x * 3) = -7x + 2(x + 1)
15 + (6 + 3x) = -7x + 2(x + 1)

Combine like terms: 15 + 6 = 21
21 + 3x = -7x + 2(x + 1)

Reorder the terms:
21 + 3x = -7x + 2(1 + x)
21 + 3x = -7x + (1 * 2 + x * 2)
21 + 3x = -7x + (2 + 2x)

Reorder the terms:
21 + 3x = 2 + -7x + 2x

Combine like terms: -7x + 2x = -5x
21 + 3x = 2 + -5x

Solving
21 + 3x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
21 + 3x + 5x = 2 + -5x + 5x

Combine like terms: 3x + 5x = 8x
21 + 8x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
21 + 8x = 2 + 0
21 + 8x = 2

Add '-21' to each side of the equation.
21 + -21 + 8x = 2 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = 2 + -21
8x = 2 + -21

Combine like terms: 2 + -21 = -19
8x = -19

Divide each side by '8'.
x = -2.375

Simplifying
x = -2.375

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