.02(x+3)-4(2x-3)=3.4

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Solution for .02(x+3)-4(2x-3)=3.4 equation: 


Simplifying
0.02(x + 3) + -4(2x + -3) = 3.4

Reorder the terms:
0.02(3 + x) + -4(2x + -3) = 3.4
(3 * 0.02 + x * 0.02) + -4(2x + -3) = 3.4
(0.06 + 0.02x) + -4(2x + -3) = 3.4

Reorder the terms:
0.06 + 0.02x + -4(-3 + 2x) = 3.4
0.06 + 0.02x + (-3 * -4 + 2x * -4) = 3.4
0.06 + 0.02x + (12 + -8x) = 3.4

Reorder the terms:
0.06 + 12 + 0.02x + -8x = 3.4

Combine like terms: 0.06 + 12 = 12.06
12.06 + 0.02x + -8x = 3.4

Combine like terms: 0.02x + -8x = -7.98x
12.06 + -7.98x = 3.4

Solving
12.06 + -7.98x = 3.4

Solving for variable 'x'.

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

Add '-12.06' to each side of the equation.
12.06 + -12.06 + -7.98x = 3.4 + -12.06

Combine like terms: 12.06 + -12.06 = 0.00
0.00 + -7.98x = 3.4 + -12.06
-7.98x = 3.4 + -12.06

Combine like terms: 3.4 + -12.06 = -8.66
-7.98x = -8.66

Divide each side by '-7.98'.
x = 1.085213033

Simplifying
x = 1.085213033

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