2.7(x+1)=0.3(3x+33)

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Solution for 2.7(x+1)=0.3(3x+33) equation: 


Simplifying
2.7(x + 1) = 0.3(3x + 33)

Reorder the terms:
2.7(1 + x) = 0.3(3x + 33)
(1 * 2.7 + x * 2.7) = 0.3(3x + 33)
(2.7 + 2.7x) = 0.3(3x + 33)

Reorder the terms:
2.7 + 2.7x = 0.3(33 + 3x)
2.7 + 2.7x = (33 * 0.3 + 3x * 0.3)
2.7 + 2.7x = (9.9 + 0.9x)

Solving
2.7 + 2.7x = 9.9 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
2.7 + 2.7x + -0.9x = 9.9 + 0.9x + -0.9x

Combine like terms: 2.7x + -0.9x = 1.8x
2.7 + 1.8x = 9.9 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
2.7 + 1.8x = 9.9 + 0.0
2.7 + 1.8x = 9.9

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 1.8x = 9.9 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 1.8x = 9.9 + -2.7
1.8x = 9.9 + -2.7

Combine like terms: 9.9 + -2.7 = 7.2
1.8x = 7.2

Divide each side by '1.8'.
x = 4

Simplifying
x = 4

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