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

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


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

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

Reorder the terms:
-10 + 8x = 3(10 + x)
-10 + 8x = (10 * 3 + x * 3)
-10 + 8x = (30 + 3x)

Solving
-10 + 8x = 30 + 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.
-10 + 8x + -3x = 30 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-10 + 5x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 5x = 30 + 0
-10 + 5x = 30

Add '10' to each side of the equation.
-10 + 10 + 5x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 30 + 10
5x = 30 + 10

Combine like terms: 30 + 10 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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