2(x-4)-3(4-5x)=320

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Solution for 2(x-4)-3(4-5x)=320 equation:


Simplifying
2(x + -4) + -3(4 + -5x) = 320

Reorder the terms:
2(-4 + x) + -3(4 + -5x) = 320
(-4 * 2 + x * 2) + -3(4 + -5x) = 320
(-8 + 2x) + -3(4 + -5x) = 320
-8 + 2x + (4 * -3 + -5x * -3) = 320
-8 + 2x + (-12 + 15x) = 320

Reorder the terms:
-8 + -12 + 2x + 15x = 320

Combine like terms: -8 + -12 = -20
-20 + 2x + 15x = 320

Combine like terms: 2x + 15x = 17x
-20 + 17x = 320

Solving
-20 + 17x = 320

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 17x = 320 + 20

Combine like terms: -20 + 20 = 0
0 + 17x = 320 + 20
17x = 320 + 20

Combine like terms: 320 + 20 = 340
17x = 340

Divide each side by '17'.
x = 20

Simplifying
x = 20

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