7-4(2x-5)-(X-3)=X+2

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Solution for 7-4(2x-5)-(X-3)=X+2 equation:


Simplifying
7 + -4(2x + -5) + -1(X + -3) = X + 2

Reorder the terms:
7 + -4(-5 + 2x) + -1(X + -3) = X + 2
7 + (-5 * -4 + 2x * -4) + -1(X + -3) = X + 2
7 + (20 + -8x) + -1(X + -3) = X + 2

Reorder the terms:
7 + 20 + -8x + -1(-3 + X) = X + 2
7 + 20 + -8x + (-3 * -1 + X * -1) = X + 2
7 + 20 + -8x + (3 + -1X) = X + 2

Reorder the terms:
7 + 20 + 3 + -1X + -8x = X + 2

Combine like terms: 7 + 20 = 27
27 + 3 + -1X + -8x = X + 2

Combine like terms: 27 + 3 = 30
30 + -1X + -8x = X + 2

Reorder the terms:
30 + -1X + -8x = 2 + X

Solving
30 + -1X + -8x = 2 + X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
30 + -1X + -1X + -8x = 2 + X + -1X

Combine like terms: -1X + -1X = -2X
30 + -2X + -8x = 2 + X + -1X

Combine like terms: X + -1X = 0
30 + -2X + -8x = 2 + 0
30 + -2X + -8x = 2

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

Reorder the terms:
30 + -30 + -2X + -8x = 2 + -30

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

Combine like terms: 2 + -30 = -28
-2X + -8x = -28

Add '8x' to each side of the equation.
-2X + -8x + 8x = -28 + 8x

Combine like terms: -8x + 8x = 0
-2X + 0 = -28 + 8x
-2X = -28 + 8x

Divide each side by '-2'.
X = 14 + -4x

Simplifying
X = 14 + -4x

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