.7(x+5)=.6(x-2)

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Solution for .7(x+5)=.6(x-2) equation:


Simplifying
0.7(x + 5) = 0.6(x + -2)

Reorder the terms:
0.7(5 + x) = 0.6(x + -2)
(5 * 0.7 + x * 0.7) = 0.6(x + -2)
(3.5 + 0.7x) = 0.6(x + -2)

Reorder the terms:
3.5 + 0.7x = 0.6(-2 + x)
3.5 + 0.7x = (-2 * 0.6 + x * 0.6)
3.5 + 0.7x = (-1.2 + 0.6x)

Solving
3.5 + 0.7x = -1.2 + 0.6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.6x' to each side of the equation.
3.5 + 0.7x + -0.6x = -1.2 + 0.6x + -0.6x

Combine like terms: 0.7x + -0.6x = 0.1x
3.5 + 0.1x = -1.2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
3.5 + 0.1x = -1.2 + 0.0
3.5 + 0.1x = -1.2

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.1x = -1.2 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.1x = -1.2 + -3.5
0.1x = -1.2 + -3.5

Combine like terms: -1.2 + -3.5 = -4.7
0.1x = -4.7

Divide each side by '0.1'.
x = -47

Simplifying
x = -47

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