(x+3).3+2=4x+2

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Solution for (x+3).3+2=4x+2 equation:


Simplifying
(x + 3) * 0.3 + 2 = 4x + 2

Reorder the terms:
(3 + x) * 0.3 + 2 = 4x + 2

Reorder the terms for easier multiplication:
0.3(3 + x) + 2 = 4x + 2
(3 * 0.3 + x * 0.3) + 2 = 4x + 2
(0.9 + 0.3x) + 2 = 4x + 2

Reorder the terms:
0.9 + 2 + 0.3x = 4x + 2

Combine like terms: 0.9 + 2 = 2.9
2.9 + 0.3x = 4x + 2

Reorder the terms:
2.9 + 0.3x = 2 + 4x

Solving
2.9 + 0.3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2.9 + 0.3x + -4x = 2 + 4x + -4x

Combine like terms: 0.3x + -4x = -3.7x
2.9 + -3.7x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.9 + -3.7x = 2 + 0
2.9 + -3.7x = 2

Add '-2.9' to each side of the equation.
2.9 + -2.9 + -3.7x = 2 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + -3.7x = 2 + -2.9
-3.7x = 2 + -2.9

Combine like terms: 2 + -2.9 = -0.9
-3.7x = -0.9

Divide each side by '-3.7'.
x = 0.2432432432

Simplifying
x = 0.2432432432

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