3.3(x+5.7)-7.3=8(x+1)-12

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Solution for 3.3(x+5.7)-7.3=8(x+1)-12 equation:


Simplifying
3.3(x + 5.7) + -7.3 = 8(x + 1) + -12

Reorder the terms:
3.3(5.7 + x) + -7.3 = 8(x + 1) + -12
(5.7 * 3.3 + x * 3.3) + -7.3 = 8(x + 1) + -12
(18.81 + 3.3x) + -7.3 = 8(x + 1) + -12

Reorder the terms:
18.81 + -7.3 + 3.3x = 8(x + 1) + -12

Combine like terms: 18.81 + -7.3 = 11.51
11.51 + 3.3x = 8(x + 1) + -12

Reorder the terms:
11.51 + 3.3x = 8(1 + x) + -12
11.51 + 3.3x = (1 * 8 + x * 8) + -12
11.51 + 3.3x = (8 + 8x) + -12

Reorder the terms:
11.51 + 3.3x = 8 + -12 + 8x

Combine like terms: 8 + -12 = -4
11.51 + 3.3x = -4 + 8x

Solving
11.51 + 3.3x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
11.51 + 3.3x + -8x = -4 + 8x + -8x

Combine like terms: 3.3x + -8x = -4.7x
11.51 + -4.7x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
11.51 + -4.7x = -4 + 0
11.51 + -4.7x = -4

Add '-11.51' to each side of the equation.
11.51 + -11.51 + -4.7x = -4 + -11.51

Combine like terms: 11.51 + -11.51 = 0.00
0.00 + -4.7x = -4 + -11.51
-4.7x = -4 + -11.51

Combine like terms: -4 + -11.51 = -15.51
-4.7x = -15.51

Divide each side by '-4.7'.
x = 3.3

Simplifying
x = 3.3

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