(3+4)(6+4x)=15-4.5(x+1)

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Solution for (3+4)(6+4x)=15-4.5(x+1) equation: 


Simplifying
(3 + 4)(6 + 4x) = 15 + -4.5(x + 1)

Combine like terms: 3 + 4 = 7
(7)(6 + 4x) = 15 + -4.5(x + 1)
(6 * 7 + 4x * 7) = 15 + -4.5(x + 1)
(42 + 28x) = 15 + -4.5(x + 1)

Reorder the terms:
42 + 28x = 15 + -4.5(1 + x)
42 + 28x = 15 + (1 * -4.5 + x * -4.5)
42 + 28x = 15 + (-4.5 + -4.5x)

Combine like terms: 15 + -4.5 = 10.5
42 + 28x = 10.5 + -4.5x

Solving
42 + 28x = 10.5 + -4.5x

Solving for variable 'x'.

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

Add '4.5x' to each side of the equation.
42 + 28x + 4.5x = 10.5 + -4.5x + 4.5x

Combine like terms: 28x + 4.5x = 32.5x
42 + 32.5x = 10.5 + -4.5x + 4.5x

Combine like terms: -4.5x + 4.5x = 0.0
42 + 32.5x = 10.5 + 0.0
42 + 32.5x = 10.5

Add '-42' to each side of the equation.
42 + -42 + 32.5x = 10.5 + -42

Combine like terms: 42 + -42 = 0
0 + 32.5x = 10.5 + -42
32.5x = 10.5 + -42

Combine like terms: 10.5 + -42 = -31.5
32.5x = -31.5

Divide each side by '32.5'.
x = -0.9692307692

Simplifying
x = -0.9692307692

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