2(2x+1.5)+9=x+16+2x-x-.4

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Solution for 2(2x+1.5)+9=x+16+2x-x-.4 equation:


Simplifying
2(2x + 1.5) + 9 = x + 16 + 2x + -1x + -0.4

Reorder the terms:
2(1.5 + 2x) + 9 = x + 16 + 2x + -1x + -0.4
(1.5 * 2 + 2x * 2) + 9 = x + 16 + 2x + -1x + -0.4
(3 + 4x) + 9 = x + 16 + 2x + -1x + -0.4

Reorder the terms:
3 + 9 + 4x = x + 16 + 2x + -1x + -0.4

Combine like terms: 3 + 9 = 12
12 + 4x = x + 16 + 2x + -1x + -0.4

Reorder the terms:
12 + 4x = 16 + -0.4 + x + 2x + -1x

Combine like terms: 16 + -0.4 = 15.6
12 + 4x = 15.6 + x + 2x + -1x

Combine like terms: x + 2x = 3x
12 + 4x = 15.6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
12 + 4x = 15.6 + 2x

Solving
12 + 4x = 15.6 + 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.
12 + 4x + -2x = 15.6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = 15.6 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = 15.6 + 0
12 + 2x = 15.6

Add '-12' to each side of the equation.
12 + -12 + 2x = 15.6 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 15.6 + -12
2x = 15.6 + -12

Combine like terms: 15.6 + -12 = 3.6
2x = 3.6

Divide each side by '2'.
x = 1.8

Simplifying
x = 1.8

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