0.3(x+3)-0.16=0.16(2x+5)

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Solution for 0.3(x+3)-0.16=0.16(2x+5) equation: 


Simplifying
0.3(x + 3) + -0.16 = 0.16(2x + 5)

Reorder the terms:
0.3(3 + x) + -0.16 = 0.16(2x + 5)
(3 * 0.3 + x * 0.3) + -0.16 = 0.16(2x + 5)
(0.9 + 0.3x) + -0.16 = 0.16(2x + 5)

Reorder the terms:
0.9 + -0.16 + 0.3x = 0.16(2x + 5)

Combine like terms: 0.9 + -0.16 = 0.74
0.74 + 0.3x = 0.16(2x + 5)

Reorder the terms:
0.74 + 0.3x = 0.16(5 + 2x)
0.74 + 0.3x = (5 * 0.16 + 2x * 0.16)
0.74 + 0.3x = (0.8 + 0.32x)

Solving
0.74 + 0.3x = 0.8 + 0.32x

Solving for variable 'x'.

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

Add '-0.32x' to each side of the equation.
0.74 + 0.3x + -0.32x = 0.8 + 0.32x + -0.32x

Combine like terms: 0.3x + -0.32x = -0.02x
0.74 + -0.02x = 0.8 + 0.32x + -0.32x

Combine like terms: 0.32x + -0.32x = 0.00
0.74 + -0.02x = 0.8 + 0.00
0.74 + -0.02x = 0.8

Add '-0.74' to each side of the equation.
0.74 + -0.74 + -0.02x = 0.8 + -0.74

Combine like terms: 0.74 + -0.74 = 0.00
0.00 + -0.02x = 0.8 + -0.74
-0.02x = 0.8 + -0.74

Combine like terms: 0.8 + -0.74 = 0.06
-0.02x = 0.06

Divide each side by '-0.02'.
x = -3

Simplifying
x = -3

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