0.7(4x-8)=1.7-(x+2)

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Solution for 0.7(4x-8)=1.7-(x+2) equation: 


Simplifying
0.7(4x + -8) = 1.7 + -1(x + 2)

Reorder the terms:
0.7(-8 + 4x) = 1.7 + -1(x + 2)
(-8 * 0.7 + 4x * 0.7) = 1.7 + -1(x + 2)
(-5.6 + 2.8x) = 1.7 + -1(x + 2)

Reorder the terms:
-5.6 + 2.8x = 1.7 + -1(2 + x)
-5.6 + 2.8x = 1.7 + (2 * -1 + x * -1)
-5.6 + 2.8x = 1.7 + (-2 + -1x)

Combine like terms: 1.7 + -2 = -0.3
-5.6 + 2.8x = -0.3 + -1x

Solving
-5.6 + 2.8x = -0.3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5.6 + 2.8x + x = -0.3 + -1x + x

Combine like terms: 2.8x + x = 3.8x
-5.6 + 3.8x = -0.3 + -1x + x

Combine like terms: -1x + x = 0
-5.6 + 3.8x = -0.3 + 0
-5.6 + 3.8x = -0.3

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 3.8x = -0.3 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 3.8x = -0.3 + 5.6
3.8x = -0.3 + 5.6

Combine like terms: -0.3 + 5.6 = 5.3
3.8x = 5.3

Divide each side by '3.8'.
x = 1.394736842

Simplifying
x = 1.394736842

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