16(2x-5)=-2(5x-18)

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Solution for 16(2x-5)=-2(5x-18) equation:


Simplifying
16(2x + -5) = -2(5x + -18)

Reorder the terms:
16(-5 + 2x) = -2(5x + -18)
(-5 * 16 + 2x * 16) = -2(5x + -18)
(-80 + 32x) = -2(5x + -18)

Reorder the terms:
-80 + 32x = -2(-18 + 5x)
-80 + 32x = (-18 * -2 + 5x * -2)
-80 + 32x = (36 + -10x)

Solving
-80 + 32x = 36 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-80 + 32x + 10x = 36 + -10x + 10x

Combine like terms: 32x + 10x = 42x
-80 + 42x = 36 + -10x + 10x

Combine like terms: -10x + 10x = 0
-80 + 42x = 36 + 0
-80 + 42x = 36

Add '80' to each side of the equation.
-80 + 80 + 42x = 36 + 80

Combine like terms: -80 + 80 = 0
0 + 42x = 36 + 80
42x = 36 + 80

Combine like terms: 36 + 80 = 116
42x = 116

Divide each side by '42'.
x = 2.761904762

Simplifying
x = 2.761904762

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