3(X-2)-(X+1)4=7+2(X-1)-12

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Solution for 3(X-2)-(X+1)4=7+2(X-1)-12 equation:


Simplifying
3(X + -2) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12

Reorder the terms:
3(-2 + X) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12
(-2 * 3 + X * 3) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12
(-6 + 3X) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12

Reorder the terms:
-6 + 3X + -1(1 + X) * 4 = 7 + 2(X + -1) + -12

Reorder the terms for easier multiplication:
-6 + 3X + -1 * 4(1 + X) = 7 + 2(X + -1) + -12

Multiply -1 * 4
-6 + 3X + -4(1 + X) = 7 + 2(X + -1) + -12
-6 + 3X + (1 * -4 + X * -4) = 7 + 2(X + -1) + -12
-6 + 3X + (-4 + -4X) = 7 + 2(X + -1) + -12

Reorder the terms:
-6 + -4 + 3X + -4X = 7 + 2(X + -1) + -12

Combine like terms: -6 + -4 = -10
-10 + 3X + -4X = 7 + 2(X + -1) + -12

Combine like terms: 3X + -4X = -1X
-10 + -1X = 7 + 2(X + -1) + -12

Reorder the terms:
-10 + -1X = 7 + 2(-1 + X) + -12
-10 + -1X = 7 + (-1 * 2 + X * 2) + -12
-10 + -1X = 7 + (-2 + 2X) + -12

Reorder the terms:
-10 + -1X = 7 + -2 + -12 + 2X

Combine like terms: 7 + -2 = 5
-10 + -1X = 5 + -12 + 2X

Combine like terms: 5 + -12 = -7
-10 + -1X = -7 + 2X

Solving
-10 + -1X = -7 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-10 + -1X + -2X = -7 + 2X + -2X

Combine like terms: -1X + -2X = -3X
-10 + -3X = -7 + 2X + -2X

Combine like terms: 2X + -2X = 0
-10 + -3X = -7 + 0
-10 + -3X = -7

Add '10' to each side of the equation.
-10 + 10 + -3X = -7 + 10

Combine like terms: -10 + 10 = 0
0 + -3X = -7 + 10
-3X = -7 + 10

Combine like terms: -7 + 10 = 3
-3X = 3

Divide each side by '-3'.
X = -1

Simplifying
X = -1

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