67(21x+15)-1=-.08(20x-45)

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Solution for 67(21x+15)-1=-.08(20x-45) equation:


Simplifying
67(21x + 15) + -1 = -0.08(20x + -45)

Reorder the terms:
67(15 + 21x) + -1 = -0.08(20x + -45)
(15 * 67 + 21x * 67) + -1 = -0.08(20x + -45)
(1005 + 1407x) + -1 = -0.08(20x + -45)

Reorder the terms:
1005 + -1 + 1407x = -0.08(20x + -45)

Combine like terms: 1005 + -1 = 1004
1004 + 1407x = -0.08(20x + -45)

Reorder the terms:
1004 + 1407x = -0.08(-45 + 20x)
1004 + 1407x = (-45 * -0.08 + 20x * -0.08)
1004 + 1407x = (3.6 + -1.6x)

Solving
1004 + 1407x = 3.6 + -1.6x

Solving for variable 'x'.

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

Add '1.6x' to each side of the equation.
1004 + 1407x + 1.6x = 3.6 + -1.6x + 1.6x

Combine like terms: 1407x + 1.6x = 1408.6x
1004 + 1408.6x = 3.6 + -1.6x + 1.6x

Combine like terms: -1.6x + 1.6x = 0.0
1004 + 1408.6x = 3.6 + 0.0
1004 + 1408.6x = 3.6

Add '-1004' to each side of the equation.
1004 + -1004 + 1408.6x = 3.6 + -1004

Combine like terms: 1004 + -1004 = 0
0 + 1408.6x = 3.6 + -1004
1408.6x = 3.6 + -1004

Combine like terms: 3.6 + -1004 = -1000.4
1408.6x = -1000.4

Divide each side by '1408.6'.
x = -0.7102087179

Simplifying
x = -0.7102087179

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