0.7(x+6)-1.3(2x-8)=9.7

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Solution for 0.7(x+6)-1.3(2x-8)=9.7 equation: 


Simplifying
0.7(x + 6) + -1.3(2x + -8) = 9.7

Reorder the terms:
0.7(6 + x) + -1.3(2x + -8) = 9.7
(6 * 0.7 + x * 0.7) + -1.3(2x + -8) = 9.7
(4.2 + 0.7x) + -1.3(2x + -8) = 9.7

Reorder the terms:
4.2 + 0.7x + -1.3(-8 + 2x) = 9.7
4.2 + 0.7x + (-8 * -1.3 + 2x * -1.3) = 9.7
4.2 + 0.7x + (10.4 + -2.6x) = 9.7

Reorder the terms:
4.2 + 10.4 + 0.7x + -2.6x = 9.7

Combine like terms: 4.2 + 10.4 = 14.6
14.6 + 0.7x + -2.6x = 9.7

Combine like terms: 0.7x + -2.6x = -1.9x
14.6 + -1.9x = 9.7

Solving
14.6 + -1.9x = 9.7

Solving for variable 'x'.

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

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.9x = 9.7 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.9x = 9.7 + -14.6
-1.9x = 9.7 + -14.6

Combine like terms: 9.7 + -14.6 = -4.9
-1.9x = -4.9

Divide each side by '-1.9'.
x = 2.578947368

Simplifying
x = 2.578947368

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