5(3x+4)-5=-4(7+2.25x)+2

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Solution for 5(3x+4)-5=-4(7+2.25x)+2 equation:


Simplifying
5(3x + 4) + -5 = -4(7 + 2.25x) + 2

Reorder the terms:
5(4 + 3x) + -5 = -4(7 + 2.25x) + 2
(4 * 5 + 3x * 5) + -5 = -4(7 + 2.25x) + 2
(20 + 15x) + -5 = -4(7 + 2.25x) + 2

Reorder the terms:
20 + -5 + 15x = -4(7 + 2.25x) + 2

Combine like terms: 20 + -5 = 15
15 + 15x = -4(7 + 2.25x) + 2
15 + 15x = (7 * -4 + 2.25x * -4) + 2
15 + 15x = (-28 + -9x) + 2

Reorder the terms:
15 + 15x = -28 + 2 + -9x

Combine like terms: -28 + 2 = -26
15 + 15x = -26 + -9x

Solving
15 + 15x = -26 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
15 + 15x + 9x = -26 + -9x + 9x

Combine like terms: 15x + 9x = 24x
15 + 24x = -26 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + 24x = -26 + 0
15 + 24x = -26

Add '-15' to each side of the equation.
15 + -15 + 24x = -26 + -15

Combine like terms: 15 + -15 = 0
0 + 24x = -26 + -15
24x = -26 + -15

Combine like terms: -26 + -15 = -41
24x = -41

Divide each side by '24'.
x = -1.708333333

Simplifying
x = -1.708333333

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