.25(3x+9)=4(1-4x)+15

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Solution for .25(3x+9)=4(1-4x)+15 equation: 


Simplifying
0.25(3x + 9) = 4(1 + -4x) + 15

Reorder the terms:
0.25(9 + 3x) = 4(1 + -4x) + 15
(9 * 0.25 + 3x * 0.25) = 4(1 + -4x) + 15
(2.25 + 0.75x) = 4(1 + -4x) + 15
2.25 + 0.75x = (1 * 4 + -4x * 4) + 15
2.25 + 0.75x = (4 + -16x) + 15

Reorder the terms:
2.25 + 0.75x = 4 + 15 + -16x

Combine like terms: 4 + 15 = 19
2.25 + 0.75x = 19 + -16x

Solving
2.25 + 0.75x = 19 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
2.25 + 0.75x + 16x = 19 + -16x + 16x

Combine like terms: 0.75x + 16x = 16.75x
2.25 + 16.75x = 19 + -16x + 16x

Combine like terms: -16x + 16x = 0
2.25 + 16.75x = 19 + 0
2.25 + 16.75x = 19

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 16.75x = 19 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 16.75x = 19 + -2.25
16.75x = 19 + -2.25

Combine like terms: 19 + -2.25 = 16.75
16.75x = 16.75

Divide each side by '16.75'.
x = 1

Simplifying
x = 1

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