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

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Solution for 0.7(3x+5)=1.1-(x+5) equation:


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

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

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

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

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

Combine like terms: 2.1x + x = 3.1x
3.5 + 3.1x = -3.9 + -1x + x

Combine like terms: -1x + x = 0
3.5 + 3.1x = -3.9 + 0
3.5 + 3.1x = -3.9

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 3.1x = -3.9 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 3.1x = -3.9 + -3.5
3.1x = -3.9 + -3.5

Combine like terms: -3.9 + -3.5 = -7.4
3.1x = -7.4

Divide each side by '3.1'.
x = -2.387096774

Simplifying
x = -2.387096774

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