3-4(2x-8)=.14(-2-11x)

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Solution for 3-4(2x-8)=.14(-2-11x) equation: 


Simplifying
3 + -4(2x + -8) = 0.14(-2 + -11x)

Reorder the terms:
3 + -4(-8 + 2x) = 0.14(-2 + -11x)
3 + (-8 * -4 + 2x * -4) = 0.14(-2 + -11x)
3 + (32 + -8x) = 0.14(-2 + -11x)

Combine like terms: 3 + 32 = 35
35 + -8x = 0.14(-2 + -11x)
35 + -8x = (-2 * 0.14 + -11x * 0.14)
35 + -8x = (-0.28 + -1.54x)

Solving
35 + -8x = -0.28 + -1.54x

Solving for variable 'x'.

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

Add '1.54x' to each side of the equation.
35 + -8x + 1.54x = -0.28 + -1.54x + 1.54x

Combine like terms: -8x + 1.54x = -6.46x
35 + -6.46x = -0.28 + -1.54x + 1.54x

Combine like terms: -1.54x + 1.54x = 0.00
35 + -6.46x = -0.28 + 0.00
35 + -6.46x = -0.28

Add '-35' to each side of the equation.
35 + -35 + -6.46x = -0.28 + -35

Combine like terms: 35 + -35 = 0
0 + -6.46x = -0.28 + -35
-6.46x = -0.28 + -35

Combine like terms: -0.28 + -35 = -35.28
-6.46x = -35.28

Divide each side by '-6.46'.
x = 5.46130031

Simplifying
x = 5.46130031

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