2.1(0.3x+2.4)-2x+1.7(2.1-1.3x)+3x=7.05+x

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Solution for 2.1(0.3x+2.4)-2x+1.7(2.1-1.3x)+3x=7.05+x equation: 


Simplifying
2.1(0.3x + 2.4) + -2x + 1.7(2.1 + -1.3x) + 3x = 7.05 + x

Reorder the terms:
2.1(2.4 + 0.3x) + -2x + 1.7(2.1 + -1.3x) + 3x = 7.05 + x
(2.4 * 2.1 + 0.3x * 2.1) + -2x + 1.7(2.1 + -1.3x) + 3x = 7.05 + x
(5.04 + 0.63x) + -2x + 1.7(2.1 + -1.3x) + 3x = 7.05 + x
5.04 + 0.63x + -2x + (2.1 * 1.7 + -1.3x * 1.7) + 3x = 7.05 + x
5.04 + 0.63x + -2x + (3.57 + -2.21x) + 3x = 7.05 + x

Reorder the terms:
5.04 + 3.57 + 0.63x + -2x + -2.21x + 3x = 7.05 + x

Combine like terms: 5.04 + 3.57 = 8.61
8.61 + 0.63x + -2x + -2.21x + 3x = 7.05 + x

Combine like terms: 0.63x + -2x = -1.37x
8.61 + -1.37x + -2.21x + 3x = 7.05 + x

Combine like terms: -1.37x + -2.21x = -3.58x
8.61 + -3.58x + 3x = 7.05 + x

Combine like terms: -3.58x + 3x = -0.58x
8.61 + -0.58x = 7.05 + x

Solving
8.61 + -0.58x = 7.05 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8.61 + -0.58x + -1x = 7.05 + x + -1x

Combine like terms: -0.58x + -1x = -1.58x
8.61 + -1.58x = 7.05 + x + -1x

Combine like terms: x + -1x = 0
8.61 + -1.58x = 7.05 + 0
8.61 + -1.58x = 7.05

Add '-8.61' to each side of the equation.
8.61 + -8.61 + -1.58x = 7.05 + -8.61

Combine like terms: 8.61 + -8.61 = 0.00
0.00 + -1.58x = 7.05 + -8.61
-1.58x = 7.05 + -8.61

Combine like terms: 7.05 + -8.61 = -1.56
-1.58x = -1.56

Divide each side by '-1.58'.
x = 0.9873417722

Simplifying
x = 0.9873417722

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