7.033+1.82x=-4.2x+2.9(.2+2.9x)

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Solution for 7.033+1.82x=-4.2x+2.9(.2+2.9x) equation: 


Simplifying
7.033 + 1.82x = -4.2x + 2.9(0.2 + 2.9x)
7.033 + 1.82x = -4.2x + (0.2 * 2.9 + 2.9x * 2.9)
7.033 + 1.82x = -4.2x + (0.58 + 8.41x)

Reorder the terms:
7.033 + 1.82x = 0.58 + -4.2x + 8.41x

Combine like terms: -4.2x + 8.41x = 4.21x
7.033 + 1.82x = 0.58 + 4.21x

Solving
7.033 + 1.82x = 0.58 + 4.21x

Solving for variable 'x'.

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

Add '-4.21x' to each side of the equation.
7.033 + 1.82x + -4.21x = 0.58 + 4.21x + -4.21x

Combine like terms: 1.82x + -4.21x = -2.39x
7.033 + -2.39x = 0.58 + 4.21x + -4.21x

Combine like terms: 4.21x + -4.21x = 0.00
7.033 + -2.39x = 0.58 + 0.00
7.033 + -2.39x = 0.58

Add '-7.033' to each side of the equation.
7.033 + -7.033 + -2.39x = 0.58 + -7.033

Combine like terms: 7.033 + -7.033 = 0.000
0.000 + -2.39x = 0.58 + -7.033
-2.39x = 0.58 + -7.033

Combine like terms: 0.58 + -7.033 = -6.453
-2.39x = -6.453

Divide each side by '-2.39'.
x = 2.7

Simplifying
x = 2.7

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