5(3x-8)+2x=10(x-2.3)

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Solution for 5(3x-8)+2x=10(x-2.3) equation:


Simplifying
5(3x + -8) + 2x = 10(x + -2.3)

Reorder the terms:
5(-8 + 3x) + 2x = 10(x + -2.3)
(-8 * 5 + 3x * 5) + 2x = 10(x + -2.3)
(-40 + 15x) + 2x = 10(x + -2.3)

Combine like terms: 15x + 2x = 17x
-40 + 17x = 10(x + -2.3)

Reorder the terms:
-40 + 17x = 10(-2.3 + x)
-40 + 17x = (-2.3 * 10 + x * 10)
-40 + 17x = (-23 + 10x)

Solving
-40 + 17x = -23 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-40 + 17x + -10x = -23 + 10x + -10x

Combine like terms: 17x + -10x = 7x
-40 + 7x = -23 + 10x + -10x

Combine like terms: 10x + -10x = 0
-40 + 7x = -23 + 0
-40 + 7x = -23

Add '40' to each side of the equation.
-40 + 40 + 7x = -23 + 40

Combine like terms: -40 + 40 = 0
0 + 7x = -23 + 40
7x = -23 + 40

Combine like terms: -23 + 40 = 17
7x = 17

Divide each side by '7'.
x = 2.428571429

Simplifying
x = 2.428571429

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