2(X-35)-3(X+10)=35-6(X-30)

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Solution for 2(X-35)-3(X+10)=35-6(X-30) equation:


Simplifying
2(X + -35) + -3(X + 10) = 35 + -6(X + -30)

Reorder the terms:
2(-35 + X) + -3(X + 10) = 35 + -6(X + -30)
(-35 * 2 + X * 2) + -3(X + 10) = 35 + -6(X + -30)
(-70 + 2X) + -3(X + 10) = 35 + -6(X + -30)

Reorder the terms:
-70 + 2X + -3(10 + X) = 35 + -6(X + -30)
-70 + 2X + (10 * -3 + X * -3) = 35 + -6(X + -30)
-70 + 2X + (-30 + -3X) = 35 + -6(X + -30)

Reorder the terms:
-70 + -30 + 2X + -3X = 35 + -6(X + -30)

Combine like terms: -70 + -30 = -100
-100 + 2X + -3X = 35 + -6(X + -30)

Combine like terms: 2X + -3X = -1X
-100 + -1X = 35 + -6(X + -30)

Reorder the terms:
-100 + -1X = 35 + -6(-30 + X)
-100 + -1X = 35 + (-30 * -6 + X * -6)
-100 + -1X = 35 + (180 + -6X)

Combine like terms: 35 + 180 = 215
-100 + -1X = 215 + -6X

Solving
-100 + -1X = 215 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
-100 + -1X + 6X = 215 + -6X + 6X

Combine like terms: -1X + 6X = 5X
-100 + 5X = 215 + -6X + 6X

Combine like terms: -6X + 6X = 0
-100 + 5X = 215 + 0
-100 + 5X = 215

Add '100' to each side of the equation.
-100 + 100 + 5X = 215 + 100

Combine like terms: -100 + 100 = 0
0 + 5X = 215 + 100
5X = 215 + 100

Combine like terms: 215 + 100 = 315
5X = 315

Divide each side by '5'.
X = 63

Simplifying
X = 63

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