.75(x+4)=.67(x-4)

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Solution for .75(x+4)=.67(x-4) equation:


Simplifying
0.75(x + 4) = 0.67(x + -4)

Reorder the terms:
0.75(4 + x) = 0.67(x + -4)
(4 * 0.75 + x * 0.75) = 0.67(x + -4)
(3 + 0.75x) = 0.67(x + -4)

Reorder the terms:
3 + 0.75x = 0.67(-4 + x)
3 + 0.75x = (-4 * 0.67 + x * 0.67)
3 + 0.75x = (-2.68 + 0.67x)

Solving
3 + 0.75x = -2.68 + 0.67x

Solving for variable 'x'.

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

Add '-0.67x' to each side of the equation.
3 + 0.75x + -0.67x = -2.68 + 0.67x + -0.67x

Combine like terms: 0.75x + -0.67x = 0.08x
3 + 0.08x = -2.68 + 0.67x + -0.67x

Combine like terms: 0.67x + -0.67x = 0.00
3 + 0.08x = -2.68 + 0.00
3 + 0.08x = -2.68

Add '-3' to each side of the equation.
3 + -3 + 0.08x = -2.68 + -3

Combine like terms: 3 + -3 = 0
0 + 0.08x = -2.68 + -3
0.08x = -2.68 + -3

Combine like terms: -2.68 + -3 = -5.68
0.08x = -5.68

Divide each side by '0.08'.
x = -71

Simplifying
x = -71

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