.7(5x+3)=1.1-(x+5)

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Solution for .7(5x+3)=1.1-(x+5) equation: 


Simplifying
0.7(5x + 3) = 1.1 + -1(x + 5)

Reorder the terms:
0.7(3 + 5x) = 1.1 + -1(x + 5)
(3 * 0.7 + 5x * 0.7) = 1.1 + -1(x + 5)
(2.1 + 3.5x) = 1.1 + -1(x + 5)

Reorder the terms:
2.1 + 3.5x = 1.1 + -1(5 + x)
2.1 + 3.5x = 1.1 + (5 * -1 + x * -1)
2.1 + 3.5x = 1.1 + (-5 + -1x)

Combine like terms: 1.1 + -5 = -3.9
2.1 + 3.5x = -3.9 + -1x

Solving
2.1 + 3.5x = -3.9 + -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 + 3.5x + x = -3.9 + -1x + x

Combine like terms: 3.5x + x = 4.5x
2.1 + 4.5x = -3.9 + -1x + x

Combine like terms: -1x + x = 0
2.1 + 4.5x = -3.9 + 0
2.1 + 4.5x = -3.9

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 4.5x = -3.9 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 4.5x = -3.9 + -2.1
4.5x = -3.9 + -2.1

Combine like terms: -3.9 + -2.1 = -6
4.5x = -6

Divide each side by '4.5'.
x = -1.333333333

Simplifying
x = -1.333333333

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