8(5x-13)-16(2x+5)=0

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Solution for 8(5x-13)-16(2x+5)=0 equation:


Simplifying
8(5x + -13) + -16(2x + 5) = 0

Reorder the terms:
8(-13 + 5x) + -16(2x + 5) = 0
(-13 * 8 + 5x * 8) + -16(2x + 5) = 0
(-104 + 40x) + -16(2x + 5) = 0

Reorder the terms:
-104 + 40x + -16(5 + 2x) = 0
-104 + 40x + (5 * -16 + 2x * -16) = 0
-104 + 40x + (-80 + -32x) = 0

Reorder the terms:
-104 + -80 + 40x + -32x = 0

Combine like terms: -104 + -80 = -184
-184 + 40x + -32x = 0

Combine like terms: 40x + -32x = 8x
-184 + 8x = 0

Solving
-184 + 8x = 0

Solving for variable 'x'.

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

Add '184' to each side of the equation.
-184 + 184 + 8x = 0 + 184

Combine like terms: -184 + 184 = 0
0 + 8x = 0 + 184
8x = 0 + 184

Combine like terms: 0 + 184 = 184
8x = 184

Divide each side by '8'.
x = 23

Simplifying
x = 23

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