0.9(8x+7)=3.4-(x-3)

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Solution for 0.9(8x+7)=3.4-(x-3) equation: 


Simplifying
0.9(8x + 7) = 3.4 + -1(x + -3)

Reorder the terms:
0.9(7 + 8x) = 3.4 + -1(x + -3)
(7 * 0.9 + 8x * 0.9) = 3.4 + -1(x + -3)
(6.3 + 7.2x) = 3.4 + -1(x + -3)

Reorder the terms:
6.3 + 7.2x = 3.4 + -1(-3 + x)
6.3 + 7.2x = 3.4 + (-3 * -1 + x * -1)
6.3 + 7.2x = 3.4 + (3 + -1x)

Combine like terms: 3.4 + 3 = 6.4
6.3 + 7.2x = 6.4 + -1x

Solving
6.3 + 7.2x = 6.4 + -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.
6.3 + 7.2x + x = 6.4 + -1x + x

Combine like terms: 7.2x + x = 8.2x
6.3 + 8.2x = 6.4 + -1x + x

Combine like terms: -1x + x = 0
6.3 + 8.2x = 6.4 + 0
6.3 + 8.2x = 6.4

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 8.2x = 6.4 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 8.2x = 6.4 + -6.3
8.2x = 6.4 + -6.3

Combine like terms: 6.4 + -6.3 = 0.1
8.2x = 0.1

Divide each side by '8.2'.
x = 0.01219512195

Simplifying
x = 0.01219512195

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