11-0.7(x-4)=0.5(12x-4)

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Solution for 11-0.7(x-4)=0.5(12x-4) equation:


Simplifying
11 + -0.7(x + -4) = 0.5(12x + -4)

Reorder the terms:
11 + -0.7(-4 + x) = 0.5(12x + -4)
11 + (-4 * -0.7 + x * -0.7) = 0.5(12x + -4)
11 + (2.8 + -0.7x) = 0.5(12x + -4)

Combine like terms: 11 + 2.8 = 13.8
13.8 + -0.7x = 0.5(12x + -4)

Reorder the terms:
13.8 + -0.7x = 0.5(-4 + 12x)
13.8 + -0.7x = (-4 * 0.5 + 12x * 0.5)
13.8 + -0.7x = (-2 + 6x)

Solving
13.8 + -0.7x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13.8 + -0.7x + -6x = -2 + 6x + -6x

Combine like terms: -0.7x + -6x = -6.7x
13.8 + -6.7x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
13.8 + -6.7x = -2 + 0
13.8 + -6.7x = -2

Add '-13.8' to each side of the equation.
13.8 + -13.8 + -6.7x = -2 + -13.8

Combine like terms: 13.8 + -13.8 = 0.0
0.0 + -6.7x = -2 + -13.8
-6.7x = -2 + -13.8

Combine like terms: -2 + -13.8 = -15.8
-6.7x = -15.8

Divide each side by '-6.7'.
x = 2.358208955

Simplifying
x = 2.358208955

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