8(2x+10)-4(3x-6)=200

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Solution for 8(2x+10)-4(3x-6)=200 equation:


Simplifying
8(2x + 10) + -4(3x + -6) = 200

Reorder the terms:
8(10 + 2x) + -4(3x + -6) = 200
(10 * 8 + 2x * 8) + -4(3x + -6) = 200
(80 + 16x) + -4(3x + -6) = 200

Reorder the terms:
80 + 16x + -4(-6 + 3x) = 200
80 + 16x + (-6 * -4 + 3x * -4) = 200
80 + 16x + (24 + -12x) = 200

Reorder the terms:
80 + 24 + 16x + -12x = 200

Combine like terms: 80 + 24 = 104
104 + 16x + -12x = 200

Combine like terms: 16x + -12x = 4x
104 + 4x = 200

Solving
104 + 4x = 200

Solving for variable 'x'.

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

Add '-104' to each side of the equation.
104 + -104 + 4x = 200 + -104

Combine like terms: 104 + -104 = 0
0 + 4x = 200 + -104
4x = 200 + -104

Combine like terms: 200 + -104 = 96
4x = 96

Divide each side by '4'.
x = 24

Simplifying
x = 24

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