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

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


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

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

Reorder the terms:
-10 + 2x = 5(4 + -3x) + 3
-10 + 2x = (4 * 5 + -3x * 5) + 3
-10 + 2x = (20 + -15x) + 3

Reorder the terms:
-10 + 2x = 20 + 3 + -15x

Combine like terms: 20 + 3 = 23
-10 + 2x = 23 + -15x

Solving
-10 + 2x = 23 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-10 + 2x + 15x = 23 + -15x + 15x

Combine like terms: 2x + 15x = 17x
-10 + 17x = 23 + -15x + 15x

Combine like terms: -15x + 15x = 0
-10 + 17x = 23 + 0
-10 + 17x = 23

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

Combine like terms: -10 + 10 = 0
0 + 17x = 23 + 10
17x = 23 + 10

Combine like terms: 23 + 10 = 33
17x = 33

Divide each side by '17'.
x = 1.941176471

Simplifying
x = 1.941176471

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