0.7(5x+15)=2.9-(x+3)

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Solution for 0.7(5x+15)=2.9-(x+3) equation: 


Simplifying
0.7(5x + 15) = 2.9 + -1(x + 3)

Reorder the terms:
0.7(15 + 5x) = 2.9 + -1(x + 3)
(15 * 0.7 + 5x * 0.7) = 2.9 + -1(x + 3)
(10.5 + 3.5x) = 2.9 + -1(x + 3)

Reorder the terms:
10.5 + 3.5x = 2.9 + -1(3 + x)
10.5 + 3.5x = 2.9 + (3 * -1 + x * -1)
10.5 + 3.5x = 2.9 + (-3 + -1x)

Combine like terms: 2.9 + -3 = -0.1
10.5 + 3.5x = -0.1 + -1x

Solving
10.5 + 3.5x = -0.1 + -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.
10.5 + 3.5x + x = -0.1 + -1x + x

Combine like terms: 3.5x + x = 4.5x
10.5 + 4.5x = -0.1 + -1x + x

Combine like terms: -1x + x = 0
10.5 + 4.5x = -0.1 + 0
10.5 + 4.5x = -0.1

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 4.5x = -0.1 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 4.5x = -0.1 + -10.5
4.5x = -0.1 + -10.5

Combine like terms: -0.1 + -10.5 = -10.6
4.5x = -10.6

Divide each side by '4.5'.
x = -2.355555556

Simplifying
x = -2.355555556

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