2(4-3)+5(2x-3)=20-5x

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Solution for 2(4-3)+5(2x-3)=20-5x equation:


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

Combine like terms: 4 + -3 = 1
2(1) + 5(2x + -3) = 20 + -5x

Multiply 2 * 1
2 + 5(2x + -3) = 20 + -5x

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

Combine like terms: 2 + -15 = -13
-13 + 10x = 20 + -5x

Solving
-13 + 10x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-13 + 10x + 5x = 20 + -5x + 5x

Combine like terms: 10x + 5x = 15x
-13 + 15x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 15x = 20 + 0
-13 + 15x = 20

Add '13' to each side of the equation.
-13 + 13 + 15x = 20 + 13

Combine like terms: -13 + 13 = 0
0 + 15x = 20 + 13
15x = 20 + 13

Combine like terms: 20 + 13 = 33
15x = 33

Divide each side by '15'.
x = 2.2

Simplifying
x = 2.2

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