2(3x-2)-7+(3-5x).3=8

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Solution for 2(3x-2)-7+(3-5x).3=8 equation: 


Simplifying
2(3x + -2) + -7 + (3 + -5x) * 0.3 = 8

Reorder the terms:
2(-2 + 3x) + -7 + (3 + -5x) * 0.3 = 8
(-2 * 2 + 3x * 2) + -7 + (3 + -5x) * 0.3 = 8
(-4 + 6x) + -7 + (3 + -5x) * 0.3 = 8

Reorder the terms for easier multiplication:
-4 + 6x + -7 + 0.3(3 + -5x) = 8
-4 + 6x + -7 + (3 * 0.3 + -5x * 0.3) = 8
-4 + 6x + -7 + (0.9 + -1.5x) = 8

Reorder the terms:
-4 + -7 + 0.9 + 6x + -1.5x = 8

Combine like terms: -4 + -7 = -11
-11 + 0.9 + 6x + -1.5x = 8

Combine like terms: -11 + 0.9 = -10.1
-10.1 + 6x + -1.5x = 8

Combine like terms: 6x + -1.5x = 4.5x
-10.1 + 4.5x = 8

Solving
-10.1 + 4.5x = 8

Solving for variable 'x'.

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

Add '10.1' to each side of the equation.
-10.1 + 10.1 + 4.5x = 8 + 10.1

Combine like terms: -10.1 + 10.1 = 0.0
0.0 + 4.5x = 8 + 10.1
4.5x = 8 + 10.1

Combine like terms: 8 + 10.1 = 18.1
4.5x = 18.1

Divide each side by '4.5'.
x = 4.022222222

Simplifying
x = 4.022222222

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