.75(3x+5)=2(3-4x)+8

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Solution for .75(3x+5)=2(3-4x)+8 equation:


Simplifying
0.75(3x + 5) = 2(3 + -4x) + 8

Reorder the terms:
0.75(5 + 3x) = 2(3 + -4x) + 8
(5 * 0.75 + 3x * 0.75) = 2(3 + -4x) + 8
(3.75 + 2.25x) = 2(3 + -4x) + 8
3.75 + 2.25x = (3 * 2 + -4x * 2) + 8
3.75 + 2.25x = (6 + -8x) + 8

Reorder the terms:
3.75 + 2.25x = 6 + 8 + -8x

Combine like terms: 6 + 8 = 14
3.75 + 2.25x = 14 + -8x

Solving
3.75 + 2.25x = 14 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3.75 + 2.25x + 8x = 14 + -8x + 8x

Combine like terms: 2.25x + 8x = 10.25x
3.75 + 10.25x = 14 + -8x + 8x

Combine like terms: -8x + 8x = 0
3.75 + 10.25x = 14 + 0
3.75 + 10.25x = 14

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 10.25x = 14 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 10.25x = 14 + -3.75
10.25x = 14 + -3.75

Combine like terms: 14 + -3.75 = 10.25
10.25x = 10.25

Divide each side by '10.25'.
x = 1

Simplifying
x = 1

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