.67(x+4)=3.75(x-3)

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Solution for .67(x+4)=3.75(x-3) equation: 


Simplifying
0.67(x + 4) = 3.75(x + -3)

Reorder the terms:
0.67(4 + x) = 3.75(x + -3)
(4 * 0.67 + x * 0.67) = 3.75(x + -3)
(2.68 + 0.67x) = 3.75(x + -3)

Reorder the terms:
2.68 + 0.67x = 3.75(-3 + x)
2.68 + 0.67x = (-3 * 3.75 + x * 3.75)
2.68 + 0.67x = (-11.25 + 3.75x)

Solving
2.68 + 0.67x = -11.25 + 3.75x

Solving for variable 'x'.

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

Add '-3.75x' to each side of the equation.
2.68 + 0.67x + -3.75x = -11.25 + 3.75x + -3.75x

Combine like terms: 0.67x + -3.75x = -3.08x
2.68 + -3.08x = -11.25 + 3.75x + -3.75x

Combine like terms: 3.75x + -3.75x = 0.00
2.68 + -3.08x = -11.25 + 0.00
2.68 + -3.08x = -11.25

Add '-2.68' to each side of the equation.
2.68 + -2.68 + -3.08x = -11.25 + -2.68

Combine like terms: 2.68 + -2.68 = 0.00
0.00 + -3.08x = -11.25 + -2.68
-3.08x = -11.25 + -2.68

Combine like terms: -11.25 + -2.68 = -13.93
-3.08x = -13.93

Divide each side by '-3.08'.
x = 4.522727273

Simplifying
x = 4.522727273

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