x+3(2x+3)-1=0.5(4x+28)

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Solution for x+3(2x+3)-1=0.5(4x+28) equation:


Simplifying
x + 3(2x + 3) + -1 = 0.5(4x + 28)

Reorder the terms:
x + 3(3 + 2x) + -1 = 0.5(4x + 28)
x + (3 * 3 + 2x * 3) + -1 = 0.5(4x + 28)
x + (9 + 6x) + -1 = 0.5(4x + 28)

Reorder the terms:
9 + -1 + x + 6x = 0.5(4x + 28)

Combine like terms: 9 + -1 = 8
8 + x + 6x = 0.5(4x + 28)

Combine like terms: x + 6x = 7x
8 + 7x = 0.5(4x + 28)

Reorder the terms:
8 + 7x = 0.5(28 + 4x)
8 + 7x = (28 * 0.5 + 4x * 0.5)
8 + 7x = (14 + 2x)

Solving
8 + 7x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 7x + -2x = 14 + 2x + -2x

Combine like terms: 7x + -2x = 5x
8 + 5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 5x = 14 + 0
8 + 5x = 14

Add '-8' to each side of the equation.
8 + -8 + 5x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 14 + -8
5x = 14 + -8

Combine like terms: 14 + -8 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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