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

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


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

Reorder the terms:
(3 + 2x) * 5 = (x + -4) * 2

Reorder the terms for easier multiplication:
5(3 + 2x) = (x + -4) * 2
(3 * 5 + 2x * 5) = (x + -4) * 2
(15 + 10x) = (x + -4) * 2

Reorder the terms:
15 + 10x = (-4 + x) * 2

Reorder the terms for easier multiplication:
15 + 10x = 2(-4 + x)
15 + 10x = (-4 * 2 + x * 2)
15 + 10x = (-8 + 2x)

Solving
15 + 10x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 10x + -2x = -8 + 2x + -2x

Combine like terms: 10x + -2x = 8x
15 + 8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 8x = -8 + 0
15 + 8x = -8

Add '-15' to each side of the equation.
15 + -15 + 8x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = -8 + -15
8x = -8 + -15

Combine like terms: -8 + -15 = -23
8x = -23

Divide each side by '8'.
x = -2.875

Simplifying
x = -2.875

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