(8+4)(8+4x)=50-6.5(x+3)

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Solution for (8+4)(8+4x)=50-6.5(x+3) equation:


Simplifying
(8 + 4)(8 + 4x) = 50 + -6.5(x + 3)

Combine like terms: 8 + 4 = 12
(12)(8 + 4x) = 50 + -6.5(x + 3)
(8 * 12 + 4x * 12) = 50 + -6.5(x + 3)
(96 + 48x) = 50 + -6.5(x + 3)

Reorder the terms:
96 + 48x = 50 + -6.5(3 + x)
96 + 48x = 50 + (3 * -6.5 + x * -6.5)
96 + 48x = 50 + (-19.5 + -6.5x)

Combine like terms: 50 + -19.5 = 30.5
96 + 48x = 30.5 + -6.5x

Solving
96 + 48x = 30.5 + -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.
96 + 48x + 6.5x = 30.5 + -6.5x + 6.5x

Combine like terms: 48x + 6.5x = 54.5x
96 + 54.5x = 30.5 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
96 + 54.5x = 30.5 + 0.0
96 + 54.5x = 30.5

Add '-96' to each side of the equation.
96 + -96 + 54.5x = 30.5 + -96

Combine like terms: 96 + -96 = 0
0 + 54.5x = 30.5 + -96
54.5x = 30.5 + -96

Combine like terms: 30.5 + -96 = -65.5
54.5x = -65.5

Divide each side by '54.5'.
x = -1.201834862

Simplifying
x = -1.201834862

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