.6(x+z)+.8(2x+4)=17

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Solution for .6(x+z)+.8(2x+4)=17 equation:


Simplifying
0.6(x + z) + 0.8(2x + 4) = 17
(x * 0.6 + z * 0.6) + 0.8(2x + 4) = 17
(0.6x + 0.6z) + 0.8(2x + 4) = 17

Reorder the terms:
0.6x + 0.6z + 0.8(4 + 2x) = 17
0.6x + 0.6z + (4 * 0.8 + 2x * 0.8) = 17
0.6x + 0.6z + (3.2 + 1.6x) = 17

Reorder the terms:
3.2 + 0.6x + 1.6x + 0.6z = 17

Combine like terms: 0.6x + 1.6x = 2.2x
3.2 + 2.2x + 0.6z = 17

Solving
3.2 + 2.2x + 0.6z = 17

Solving for variable 'x'.

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

Add '-3.2' to each side of the equation.
3.2 + 2.2x + -3.2 + 0.6z = 17 + -3.2

Reorder the terms:
3.2 + -3.2 + 2.2x + 0.6z = 17 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 2.2x + 0.6z = 17 + -3.2
2.2x + 0.6z = 17 + -3.2

Combine like terms: 17 + -3.2 = 13.8
2.2x + 0.6z = 13.8

Add '-0.6z' to each side of the equation.
2.2x + 0.6z + -0.6z = 13.8 + -0.6z

Combine like terms: 0.6z + -0.6z = 0.0
2.2x + 0.0 = 13.8 + -0.6z
2.2x = 13.8 + -0.6z

Divide each side by '2.2'.
x = 6.272727273 + -0.2727272727z

Simplifying
x = 6.272727273 + -0.2727272727z

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