3(x-4)+4(-7x+9)-14=.5(8x-90)+11

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Solution for 3(x-4)+4(-7x+9)-14=.5(8x-90)+11 equation: 


Simplifying
3(x + -4) + 4(-7x + 9) + -14 = 0.5(8x + -90) + 11

Reorder the terms:
3(-4 + x) + 4(-7x + 9) + -14 = 0.5(8x + -90) + 11
(-4 * 3 + x * 3) + 4(-7x + 9) + -14 = 0.5(8x + -90) + 11
(-12 + 3x) + 4(-7x + 9) + -14 = 0.5(8x + -90) + 11

Reorder the terms:
-12 + 3x + 4(9 + -7x) + -14 = 0.5(8x + -90) + 11
-12 + 3x + (9 * 4 + -7x * 4) + -14 = 0.5(8x + -90) + 11
-12 + 3x + (36 + -28x) + -14 = 0.5(8x + -90) + 11

Reorder the terms:
-12 + 36 + -14 + 3x + -28x = 0.5(8x + -90) + 11

Combine like terms: -12 + 36 = 24
24 + -14 + 3x + -28x = 0.5(8x + -90) + 11

Combine like terms: 24 + -14 = 10
10 + 3x + -28x = 0.5(8x + -90) + 11

Combine like terms: 3x + -28x = -25x
10 + -25x = 0.5(8x + -90) + 11

Reorder the terms:
10 + -25x = 0.5(-90 + 8x) + 11
10 + -25x = (-90 * 0.5 + 8x * 0.5) + 11
10 + -25x = (-45 + 4x) + 11

Reorder the terms:
10 + -25x = -45 + 11 + 4x

Combine like terms: -45 + 11 = -34
10 + -25x = -34 + 4x

Solving
10 + -25x = -34 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -25x + -4x = -34 + 4x + -4x

Combine like terms: -25x + -4x = -29x
10 + -29x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -29x = -34 + 0
10 + -29x = -34

Add '-10' to each side of the equation.
10 + -10 + -29x = -34 + -10

Combine like terms: 10 + -10 = 0
0 + -29x = -34 + -10
-29x = -34 + -10

Combine like terms: -34 + -10 = -44
-29x = -44

Divide each side by '-29'.
x = 1.517241379

Simplifying
x = 1.517241379

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