4(2x-10)=5(x+16)

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Solution for 4(2x-10)=5(x+16) equation:


Simplifying
4(2x + -10) = 5(x + 16)

Reorder the terms:
4(-10 + 2x) = 5(x + 16)
(-10 * 4 + 2x * 4) = 5(x + 16)
(-40 + 8x) = 5(x + 16)

Reorder the terms:
-40 + 8x = 5(16 + x)
-40 + 8x = (16 * 5 + x * 5)
-40 + 8x = (80 + 5x)

Solving
-40 + 8x = 80 + 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.
-40 + 8x + -5x = 80 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-40 + 3x = 80 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + 3x = 80 + 0
-40 + 3x = 80

Add '40' to each side of the equation.
-40 + 40 + 3x = 80 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 80 + 40
3x = 80 + 40

Combine like terms: 80 + 40 = 120
3x = 120

Divide each side by '3'.
x = 40

Simplifying
x = 40

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