6(x-1)+5(x+2)=3(x+1)+9

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Solution for 6(x-1)+5(x+2)=3(x+1)+9 equation:


Simplifying
6(x + -1) + 5(x + 2) = 3(x + 1) + 9

Reorder the terms:
6(-1 + x) + 5(x + 2) = 3(x + 1) + 9
(-1 * 6 + x * 6) + 5(x + 2) = 3(x + 1) + 9
(-6 + 6x) + 5(x + 2) = 3(x + 1) + 9

Reorder the terms:
-6 + 6x + 5(2 + x) = 3(x + 1) + 9
-6 + 6x + (2 * 5 + x * 5) = 3(x + 1) + 9
-6 + 6x + (10 + 5x) = 3(x + 1) + 9

Reorder the terms:
-6 + 10 + 6x + 5x = 3(x + 1) + 9

Combine like terms: -6 + 10 = 4
4 + 6x + 5x = 3(x + 1) + 9

Combine like terms: 6x + 5x = 11x
4 + 11x = 3(x + 1) + 9

Reorder the terms:
4 + 11x = 3(1 + x) + 9
4 + 11x = (1 * 3 + x * 3) + 9
4 + 11x = (3 + 3x) + 9

Reorder the terms:
4 + 11x = 3 + 9 + 3x

Combine like terms: 3 + 9 = 12
4 + 11x = 12 + 3x

Solving
4 + 11x = 12 + 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.
4 + 11x + -3x = 12 + 3x + -3x

Combine like terms: 11x + -3x = 8x
4 + 8x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 8x = 12 + 0
4 + 8x = 12

Add '-4' to each side of the equation.
4 + -4 + 8x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 12 + -4
8x = 12 + -4

Combine like terms: 12 + -4 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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