4(2x-10)-(X-8)=-3(X-2)-8

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Solution for 4(2x-10)-(X-8)=-3(X-2)-8 equation:


Simplifying
4(2x + -10) + -1(X + -8) = -3(X + -2) + -8

Reorder the terms:
4(-10 + 2x) + -1(X + -8) = -3(X + -2) + -8
(-10 * 4 + 2x * 4) + -1(X + -8) = -3(X + -2) + -8
(-40 + 8x) + -1(X + -8) = -3(X + -2) + -8

Reorder the terms:
-40 + 8x + -1(-8 + X) = -3(X + -2) + -8
-40 + 8x + (-8 * -1 + X * -1) = -3(X + -2) + -8
-40 + 8x + (8 + -1X) = -3(X + -2) + -8

Reorder the terms:
-40 + 8 + -1X + 8x = -3(X + -2) + -8

Combine like terms: -40 + 8 = -32
-32 + -1X + 8x = -3(X + -2) + -8

Reorder the terms:
-32 + -1X + 8x = -3(-2 + X) + -8
-32 + -1X + 8x = (-2 * -3 + X * -3) + -8
-32 + -1X + 8x = (6 + -3X) + -8

Reorder the terms:
-32 + -1X + 8x = 6 + -8 + -3X

Combine like terms: 6 + -8 = -2
-32 + -1X + 8x = -2 + -3X

Solving
-32 + -1X + 8x = -2 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
-32 + -1X + 3X + 8x = -2 + -3X + 3X

Combine like terms: -1X + 3X = 2X
-32 + 2X + 8x = -2 + -3X + 3X

Combine like terms: -3X + 3X = 0
-32 + 2X + 8x = -2 + 0
-32 + 2X + 8x = -2

Add '32' to each side of the equation.
-32 + 2X + 32 + 8x = -2 + 32

Reorder the terms:
-32 + 32 + 2X + 8x = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 2X + 8x = -2 + 32
2X + 8x = -2 + 32

Combine like terms: -2 + 32 = 30
2X + 8x = 30

Add '-8x' to each side of the equation.
2X + 8x + -8x = 30 + -8x

Combine like terms: 8x + -8x = 0
2X + 0 = 30 + -8x
2X = 30 + -8x

Divide each side by '2'.
X = 15 + -4x

Simplifying
X = 15 + -4x

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