0.64(3x-7)-0.21(2x+9)-4.3=37.33

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Solution for 0.64(3x-7)-0.21(2x+9)-4.3=37.33 equation: 


Simplifying
0.64(3x + -7) + -0.21(2x + 9) + -4.3 = 37.33

Reorder the terms:
0.64(-7 + 3x) + -0.21(2x + 9) + -4.3 = 37.33
(-7 * 0.64 + 3x * 0.64) + -0.21(2x + 9) + -4.3 = 37.33
(-4.48 + 1.92x) + -0.21(2x + 9) + -4.3 = 37.33

Reorder the terms:
-4.48 + 1.92x + -0.21(9 + 2x) + -4.3 = 37.33
-4.48 + 1.92x + (9 * -0.21 + 2x * -0.21) + -4.3 = 37.33
-4.48 + 1.92x + (-1.89 + -0.42x) + -4.3 = 37.33

Reorder the terms:
-4.48 + -1.89 + -4.3 + 1.92x + -0.42x = 37.33

Combine like terms: -4.48 + -1.89 = -6.37
-6.37 + -4.3 + 1.92x + -0.42x = 37.33

Combine like terms: -6.37 + -4.3 = -10.67
-10.67 + 1.92x + -0.42x = 37.33

Combine like terms: 1.92x + -0.42x = 1.5x
-10.67 + 1.5x = 37.33

Solving
-10.67 + 1.5x = 37.33

Solving for variable 'x'.

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

Add '10.67' to each side of the equation.
-10.67 + 10.67 + 1.5x = 37.33 + 10.67

Combine like terms: -10.67 + 10.67 = 0.00
0.00 + 1.5x = 37.33 + 10.67
1.5x = 37.33 + 10.67

Combine like terms: 37.33 + 10.67 = 48
1.5x = 48

Divide each side by '1.5'.
x = 32

Simplifying
x = 32

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