0.7(5x+10)=1.3-(x+2)

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Solution for 0.7(5x+10)=1.3-(x+2) equation: 


Simplifying
0.7(5x + 10) = 1.3 + -1(x + 2)

Reorder the terms:
0.7(10 + 5x) = 1.3 + -1(x + 2)
(10 * 0.7 + 5x * 0.7) = 1.3 + -1(x + 2)
(7 + 3.5x) = 1.3 + -1(x + 2)

Reorder the terms:
7 + 3.5x = 1.3 + -1(2 + x)
7 + 3.5x = 1.3 + (2 * -1 + x * -1)
7 + 3.5x = 1.3 + (-2 + -1x)

Combine like terms: 1.3 + -2 = -0.7
7 + 3.5x = -0.7 + -1x

Solving
7 + 3.5x = -0.7 + -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.
7 + 3.5x + x = -0.7 + -1x + x

Combine like terms: 3.5x + x = 4.5x
7 + 4.5x = -0.7 + -1x + x

Combine like terms: -1x + x = 0
7 + 4.5x = -0.7 + 0
7 + 4.5x = -0.7

Add '-7' to each side of the equation.
7 + -7 + 4.5x = -0.7 + -7

Combine like terms: 7 + -7 = 0
0 + 4.5x = -0.7 + -7
4.5x = -0.7 + -7

Combine like terms: -0.7 + -7 = -7.7
4.5x = -7.7

Divide each side by '4.5'.
x = -1.711111111

Simplifying
x = -1.711111111

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