.75(x-9)=.8(5x-7)

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Solution for .75(x-9)=.8(5x-7) equation:


Simplifying
0.75(x + -9) = 0.8(5x + -7)

Reorder the terms:
0.75(-9 + x) = 0.8(5x + -7)
(-9 * 0.75 + x * 0.75) = 0.8(5x + -7)
(-6.75 + 0.75x) = 0.8(5x + -7)

Reorder the terms:
-6.75 + 0.75x = 0.8(-7 + 5x)
-6.75 + 0.75x = (-7 * 0.8 + 5x * 0.8)
-6.75 + 0.75x = (-5.6 + 4x)

Solving
-6.75 + 0.75x = -5.6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6.75 + 0.75x + -4x = -5.6 + 4x + -4x

Combine like terms: 0.75x + -4x = -3.25x
-6.75 + -3.25x = -5.6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6.75 + -3.25x = -5.6 + 0
-6.75 + -3.25x = -5.6

Add '6.75' to each side of the equation.
-6.75 + 6.75 + -3.25x = -5.6 + 6.75

Combine like terms: -6.75 + 6.75 = 0.00
0.00 + -3.25x = -5.6 + 6.75
-3.25x = -5.6 + 6.75

Combine like terms: -5.6 + 6.75 = 1.15
-3.25x = 1.15

Divide each side by '-3.25'.
x = -0.3538461538

Simplifying
x = -0.3538461538

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