0.3(9x+7)=1.5-(x+5)

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Solution for 0.3(9x+7)=1.5-(x+5) equation: 


Simplifying
0.3(9x + 7) = 1.5 + -1(x + 5)

Reorder the terms:
0.3(7 + 9x) = 1.5 + -1(x + 5)
(7 * 0.3 + 9x * 0.3) = 1.5 + -1(x + 5)
(2.1 + 2.7x) = 1.5 + -1(x + 5)

Reorder the terms:
2.1 + 2.7x = 1.5 + -1(5 + x)
2.1 + 2.7x = 1.5 + (5 * -1 + x * -1)
2.1 + 2.7x = 1.5 + (-5 + -1x)

Combine like terms: 1.5 + -5 = -3.5
2.1 + 2.7x = -3.5 + -1x

Solving
2.1 + 2.7x = -3.5 + -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.
2.1 + 2.7x + x = -3.5 + -1x + x

Combine like terms: 2.7x + x = 3.7x
2.1 + 3.7x = -3.5 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 3.7x = -3.5 + 0
2.1 + 3.7x = -3.5

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 3.7x = -3.5 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 3.7x = -3.5 + -2.1
3.7x = -3.5 + -2.1

Combine like terms: -3.5 + -2.1 = -5.6
3.7x = -5.6

Divide each side by '3.7'.
x = -1.513513514

Simplifying
x = -1.513513514

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