(3x)-4x+9=7x+75

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Solution for (3x)-4x+9=7x+75 equation:


Simplifying
(3x) + -4x + 9 = 7x + 75

Reorder the terms:
9 + (3x) + -4x = 7x + 75

Combine like terms: (3x) + -4x = -1x
9 + -1x = 7x + 75

Reorder the terms:
9 + -1x = 75 + 7x

Solving
9 + -1x = 75 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + -1x + -7x = 75 + 7x + -7x

Combine like terms: -1x + -7x = -8x
9 + -8x = 75 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -8x = 75 + 0
9 + -8x = 75

Add '-9' to each side of the equation.
9 + -9 + -8x = 75 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 75 + -9
-8x = 75 + -9

Combine like terms: 75 + -9 = 66
-8x = 66

Divide each side by '-8'.
x = -8.25

Simplifying
x = -8.25

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