2(4x-10)=3(x+5)

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Solution for 2(4x-10)=3(x+5) equation:


Simplifying
2(4x + -10) = 3(x + 5)

Reorder the terms:
2(-10 + 4x) = 3(x + 5)
(-10 * 2 + 4x * 2) = 3(x + 5)
(-20 + 8x) = 3(x + 5)

Reorder the terms:
-20 + 8x = 3(5 + x)
-20 + 8x = (5 * 3 + x * 3)
-20 + 8x = (15 + 3x)

Solving
-20 + 8x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 8x + -3x = 15 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-20 + 5x = 15 + 0
-20 + 5x = 15

Add '20' to each side of the equation.
-20 + 20 + 5x = 15 + 20

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

Combine like terms: 15 + 20 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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