(4+2)(1+3x)=10-3.5(x+1)

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Solution for (4+2)(1+3x)=10-3.5(x+1) equation:


Simplifying
(4 + 2)(1 + 3x) = 10 + -3.5(x + 1)

Combine like terms: 4 + 2 = 6
(6)(1 + 3x) = 10 + -3.5(x + 1)
(1 * 6 + 3x * 6) = 10 + -3.5(x + 1)
(6 + 18x) = 10 + -3.5(x + 1)

Reorder the terms:
6 + 18x = 10 + -3.5(1 + x)
6 + 18x = 10 + (1 * -3.5 + x * -3.5)
6 + 18x = 10 + (-3.5 + -3.5x)

Combine like terms: 10 + -3.5 = 6.5
6 + 18x = 6.5 + -3.5x

Solving
6 + 18x = 6.5 + -3.5x

Solving for variable 'x'.

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

Add '3.5x' to each side of the equation.
6 + 18x + 3.5x = 6.5 + -3.5x + 3.5x

Combine like terms: 18x + 3.5x = 21.5x
6 + 21.5x = 6.5 + -3.5x + 3.5x

Combine like terms: -3.5x + 3.5x = 0.0
6 + 21.5x = 6.5 + 0.0
6 + 21.5x = 6.5

Add '-6' to each side of the equation.
6 + -6 + 21.5x = 6.5 + -6

Combine like terms: 6 + -6 = 0
0 + 21.5x = 6.5 + -6
21.5x = 6.5 + -6

Combine like terms: 6.5 + -6 = 0.5
21.5x = 0.5

Divide each side by '21.5'.
x = 0.02325581395

Simplifying
x = 0.02325581395

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