8(x+6)=-7x+33

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Solution for 8(x+6)=-7x+33 equation:


Simplifying
8(x + 6) = -7x + 33

Reorder the terms:
8(6 + x) = -7x + 33
(6 * 8 + x * 8) = -7x + 33
(48 + 8x) = -7x + 33

Reorder the terms:
48 + 8x = 33 + -7x

Solving
48 + 8x = 33 + -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.
48 + 8x + 7x = 33 + -7x + 7x

Combine like terms: 8x + 7x = 15x
48 + 15x = 33 + -7x + 7x

Combine like terms: -7x + 7x = 0
48 + 15x = 33 + 0
48 + 15x = 33

Add '-48' to each side of the equation.
48 + -48 + 15x = 33 + -48

Combine like terms: 48 + -48 = 0
0 + 15x = 33 + -48
15x = 33 + -48

Combine like terms: 33 + -48 = -15
15x = -15

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

Simplifying
x = -1

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