0.7(3x+17)=3.5-(x-4)

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Solution for 0.7(3x+17)=3.5-(x-4) equation: 


Simplifying
0.7(3x + 17) = 3.5 + -1(x + -4)

Reorder the terms:
0.7(17 + 3x) = 3.5 + -1(x + -4)
(17 * 0.7 + 3x * 0.7) = 3.5 + -1(x + -4)
(11.9 + 2.1x) = 3.5 + -1(x + -4)

Reorder the terms:
11.9 + 2.1x = 3.5 + -1(-4 + x)
11.9 + 2.1x = 3.5 + (-4 * -1 + x * -1)
11.9 + 2.1x = 3.5 + (4 + -1x)

Combine like terms: 3.5 + 4 = 7.5
11.9 + 2.1x = 7.5 + -1x

Solving
11.9 + 2.1x = 7.5 + -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.
11.9 + 2.1x + x = 7.5 + -1x + x

Combine like terms: 2.1x + x = 3.1x
11.9 + 3.1x = 7.5 + -1x + x

Combine like terms: -1x + x = 0
11.9 + 3.1x = 7.5 + 0
11.9 + 3.1x = 7.5

Add '-11.9' to each side of the equation.
11.9 + -11.9 + 3.1x = 7.5 + -11.9

Combine like terms: 11.9 + -11.9 = 0.0
0.0 + 3.1x = 7.5 + -11.9
3.1x = 7.5 + -11.9

Combine like terms: 7.5 + -11.9 = -4.4
3.1x = -4.4

Divide each side by '3.1'.
x = -1.419354839

Simplifying
x = -1.419354839

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