(7+1)(6+4x)=30-6.5(x+3)

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Solution for (7+1)(6+4x)=30-6.5(x+3) equation: 


Simplifying
(7 + 1)(6 + 4x) = 30 + -6.5(x + 3)

Combine like terms: 7 + 1 = 8
(8)(6 + 4x) = 30 + -6.5(x + 3)
(6 * 8 + 4x * 8) = 30 + -6.5(x + 3)
(48 + 32x) = 30 + -6.5(x + 3)

Reorder the terms:
48 + 32x = 30 + -6.5(3 + x)
48 + 32x = 30 + (3 * -6.5 + x * -6.5)
48 + 32x = 30 + (-19.5 + -6.5x)

Combine like terms: 30 + -19.5 = 10.5
48 + 32x = 10.5 + -6.5x

Solving
48 + 32x = 10.5 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
48 + 32x + 6.5x = 10.5 + -6.5x + 6.5x

Combine like terms: 32x + 6.5x = 38.5x
48 + 38.5x = 10.5 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
48 + 38.5x = 10.5 + 0.0
48 + 38.5x = 10.5

Add '-48' to each side of the equation.
48 + -48 + 38.5x = 10.5 + -48

Combine like terms: 48 + -48 = 0
0 + 38.5x = 10.5 + -48
38.5x = 10.5 + -48

Combine like terms: 10.5 + -48 = -37.5
38.5x = -37.5

Divide each side by '38.5'.
x = -0.974025974

Simplifying
x = -0.974025974

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