0.6(x+1)=3x+4.2

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Solution for 0.6(x+1)=3x+4.2 equation:


Simplifying
0.6(x + 1) = 3x + 4.2

Reorder the terms:
0.6(1 + x) = 3x + 4.2
(1 * 0.6 + x * 0.6) = 3x + 4.2
(0.6 + 0.6x) = 3x + 4.2

Reorder the terms:
0.6 + 0.6x = 4.2 + 3x

Solving
0.6 + 0.6x = 4.2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.6 + 0.6x + -3x = 4.2 + 3x + -3x

Combine like terms: 0.6x + -3x = -2.4x
0.6 + -2.4x = 4.2 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.6 + -2.4x = 4.2 + 0
0.6 + -2.4x = 4.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -2.4x = 4.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -2.4x = 4.2 + -0.6
-2.4x = 4.2 + -0.6

Combine like terms: 4.2 + -0.6 = 3.6
-2.4x = 3.6

Divide each side by '-2.4'.
x = -1.5

Simplifying
x = -1.5

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