0.3(x+1)+0.02(2x-3)=0.04x

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Solution for 0.3(x+1)+0.02(2x-3)=0.04x equation: 


Simplifying
0.3(x + 1) + 0.02(2x + -3) = 0.04x

Reorder the terms:
0.3(1 + x) + 0.02(2x + -3) = 0.04x
(1 * 0.3 + x * 0.3) + 0.02(2x + -3) = 0.04x
(0.3 + 0.3x) + 0.02(2x + -3) = 0.04x

Reorder the terms:
0.3 + 0.3x + 0.02(-3 + 2x) = 0.04x
0.3 + 0.3x + (-3 * 0.02 + 2x * 0.02) = 0.04x
0.3 + 0.3x + (-0.06 + 0.04x) = 0.04x

Reorder the terms:
0.3 + -0.06 + 0.3x + 0.04x = 0.04x

Combine like terms: 0.3 + -0.06 = 0.24
0.24 + 0.3x + 0.04x = 0.04x

Combine like terms: 0.3x + 0.04x = 0.34x
0.24 + 0.34x = 0.04x

Solving
0.24 + 0.34x = 0.04x

Solving for variable 'x'.

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

Add '-0.04x' to each side of the equation.
0.24 + 0.34x + -0.04x = 0.04x + -0.04x

Combine like terms: 0.34x + -0.04x = 0.3x
0.24 + 0.3x = 0.04x + -0.04x

Combine like terms: 0.04x + -0.04x = 0.00
0.24 + 0.3x = 0.00

Add '-0.24' to each side of the equation.
0.24 + -0.24 + 0.3x = 0.00 + -0.24

Combine like terms: 0.24 + -0.24 = 0.00
0.00 + 0.3x = 0.00 + -0.24
0.3x = 0.00 + -0.24

Combine like terms: 0.00 + -0.24 = -0.24
0.3x = -0.24

Divide each side by '0.3'.
x = -0.8

Simplifying
x = -0.8

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