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

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


Simplifying
4(5 + -2x) + -5 = 3(3x + 7)
(5 * 4 + -2x * 4) + -5 = 3(3x + 7)
(20 + -8x) + -5 = 3(3x + 7)

Reorder the terms:
20 + -5 + -8x = 3(3x + 7)

Combine like terms: 20 + -5 = 15
15 + -8x = 3(3x + 7)

Reorder the terms:
15 + -8x = 3(7 + 3x)
15 + -8x = (7 * 3 + 3x * 3)
15 + -8x = (21 + 9x)

Solving
15 + -8x = 21 + 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 + -8x + -9x = 21 + 9x + -9x

Combine like terms: -8x + -9x = -17x
15 + -17x = 21 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -17x = 21 + 0
15 + -17x = 21

Add '-15' to each side of the equation.
15 + -15 + -17x = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = 21 + -15
-17x = 21 + -15

Combine like terms: 21 + -15 = 6
-17x = 6

Divide each side by '-17'.
x = -0.3529411765

Simplifying
x = -0.3529411765

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