.04(3x-1)+.9(x-3)=-.18

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Solution for .04(3x-1)+.9(x-3)=-.18 equation:


Simplifying
0.04(3x + -1) + 0.9(x + -3) = -0.18

Reorder the terms:
0.04(-1 + 3x) + 0.9(x + -3) = -0.18
(-1 * 0.04 + 3x * 0.04) + 0.9(x + -3) = -0.18
(-0.04 + 0.12x) + 0.9(x + -3) = -0.18

Reorder the terms:
-0.04 + 0.12x + 0.9(-3 + x) = -0.18
-0.04 + 0.12x + (-3 * 0.9 + x * 0.9) = -0.18
-0.04 + 0.12x + (-2.7 + 0.9x) = -0.18

Reorder the terms:
-0.04 + -2.7 + 0.12x + 0.9x = -0.18

Combine like terms: -0.04 + -2.7 = -2.74
-2.74 + 0.12x + 0.9x = -0.18

Combine like terms: 0.12x + 0.9x = 1.02x
-2.74 + 1.02x = -0.18

Solving
-2.74 + 1.02x = -0.18

Solving for variable 'x'.

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

Add '2.74' to each side of the equation.
-2.74 + 2.74 + 1.02x = -0.18 + 2.74

Combine like terms: -2.74 + 2.74 = 0.00
0.00 + 1.02x = -0.18 + 2.74
1.02x = -0.18 + 2.74

Combine like terms: -0.18 + 2.74 = 2.56
1.02x = 2.56

Divide each side by '1.02'.
x = 2.509803922

Simplifying
x = 2.509803922

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