.7(2x+9)=3.4-(x-3)

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Solution for .7(2x+9)=3.4-(x-3) equation: 


Simplifying
0.7(2x + 9) = 3.4 + -1(x + -3)

Reorder the terms:
0.7(9 + 2x) = 3.4 + -1(x + -3)
(9 * 0.7 + 2x * 0.7) = 3.4 + -1(x + -3)
(6.3 + 1.4x) = 3.4 + -1(x + -3)

Reorder the terms:
6.3 + 1.4x = 3.4 + -1(-3 + x)
6.3 + 1.4x = 3.4 + (-3 * -1 + x * -1)
6.3 + 1.4x = 3.4 + (3 + -1x)

Combine like terms: 3.4 + 3 = 6.4
6.3 + 1.4x = 6.4 + -1x

Solving
6.3 + 1.4x = 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 + 1.4x + x = 6.4 + -1x + x

Combine like terms: 1.4x + x = 2.4x
6.3 + 2.4x = 6.4 + -1x + x

Combine like terms: -1x + x = 0
6.3 + 2.4x = 6.4 + 0
6.3 + 2.4x = 6.4

Add '-6.3' to each side of the equation.
6.3 + -6.3 + 2.4x = 6.4 + -6.3

Combine like terms: 6.3 + -6.3 = 0.0
0.0 + 2.4x = 6.4 + -6.3
2.4x = 6.4 + -6.3

Combine like terms: 6.4 + -6.3 = 0.1
2.4x = 0.1

Divide each side by '2.4'.
x = 0.04166666667

Simplifying
x = 0.04166666667

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