9-4(X+2)=10-3(X+1)

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Solution for 9-4(X+2)=10-3(X+1) equation:


Simplifying
9 + -4(X + 2) = 10 + -3(X + 1)

Reorder the terms:
9 + -4(2 + X) = 10 + -3(X + 1)
9 + (2 * -4 + X * -4) = 10 + -3(X + 1)
9 + (-8 + -4X) = 10 + -3(X + 1)

Combine like terms: 9 + -8 = 1
1 + -4X = 10 + -3(X + 1)

Reorder the terms:
1 + -4X = 10 + -3(1 + X)
1 + -4X = 10 + (1 * -3 + X * -3)
1 + -4X = 10 + (-3 + -3X)

Combine like terms: 10 + -3 = 7
1 + -4X = 7 + -3X

Solving
1 + -4X = 7 + -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.
1 + -4X + 3X = 7 + -3X + 3X

Combine like terms: -4X + 3X = -1X
1 + -1X = 7 + -3X + 3X

Combine like terms: -3X + 3X = 0
1 + -1X = 7 + 0
1 + -1X = 7

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

Combine like terms: 1 + -1 = 0
0 + -1X = 7 + -1
-1X = 7 + -1

Combine like terms: 7 + -1 = 6
-1X = 6

Divide each side by '-1'.
X = -6

Simplifying
X = -6

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