4-.8(x-14)=.2(10x-14)

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Solution for 4-.8(x-14)=.2(10x-14) equation: 


Simplifying
4 + -0.8(x + -14) = 0.2(10x + -14)

Reorder the terms:
4 + -0.8(-14 + x) = 0.2(10x + -14)
4 + (-14 * -0.8 + x * -0.8) = 0.2(10x + -14)
4 + (11.2 + -0.8x) = 0.2(10x + -14)

Combine like terms: 4 + 11.2 = 15.2
15.2 + -0.8x = 0.2(10x + -14)

Reorder the terms:
15.2 + -0.8x = 0.2(-14 + 10x)
15.2 + -0.8x = (-14 * 0.2 + 10x * 0.2)
15.2 + -0.8x = (-2.8 + 2x)

Solving
15.2 + -0.8x = -2.8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15.2 + -0.8x + -2x = -2.8 + 2x + -2x

Combine like terms: -0.8x + -2x = -2.8x
15.2 + -2.8x = -2.8 + 2x + -2x

Combine like terms: 2x + -2x = 0
15.2 + -2.8x = -2.8 + 0
15.2 + -2.8x = -2.8

Add '-15.2' to each side of the equation.
15.2 + -15.2 + -2.8x = -2.8 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + -2.8x = -2.8 + -15.2
-2.8x = -2.8 + -15.2

Combine like terms: -2.8 + -15.2 = -18
-2.8x = -18

Divide each side by '-2.8'.
x = 6.428571429

Simplifying
x = 6.428571429

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