2(9x-4)-7+(6-5x).3=18

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Solution for 2(9x-4)-7+(6-5x).3=18 equation: 


Simplifying
2(9x + -4) + -7 + (6 + -5x) * 0.3 = 18

Reorder the terms:
2(-4 + 9x) + -7 + (6 + -5x) * 0.3 = 18
(-4 * 2 + 9x * 2) + -7 + (6 + -5x) * 0.3 = 18
(-8 + 18x) + -7 + (6 + -5x) * 0.3 = 18

Reorder the terms for easier multiplication:
-8 + 18x + -7 + 0.3(6 + -5x) = 18
-8 + 18x + -7 + (6 * 0.3 + -5x * 0.3) = 18
-8 + 18x + -7 + (1.8 + -1.5x) = 18

Reorder the terms:
-8 + -7 + 1.8 + 18x + -1.5x = 18

Combine like terms: -8 + -7 = -15
-15 + 1.8 + 18x + -1.5x = 18

Combine like terms: -15 + 1.8 = -13.2
-13.2 + 18x + -1.5x = 18

Combine like terms: 18x + -1.5x = 16.5x
-13.2 + 16.5x = 18

Solving
-13.2 + 16.5x = 18

Solving for variable 'x'.

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

Add '13.2' to each side of the equation.
-13.2 + 13.2 + 16.5x = 18 + 13.2

Combine like terms: -13.2 + 13.2 = 0.0
0.0 + 16.5x = 18 + 13.2
16.5x = 18 + 13.2

Combine like terms: 18 + 13.2 = 31.2
16.5x = 31.2

Divide each side by '16.5'.
x = 1.890909091

Simplifying
x = 1.890909091

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