-3(x+5)-9(-2x-1)=14(x+1)-6

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Solution for -3(x+5)-9(-2x-1)=14(x+1)-6 equation:


Simplifying
-3(x + 5) + -9(-2x + -1) = 14(x + 1) + -6

Reorder the terms:
-3(5 + x) + -9(-2x + -1) = 14(x + 1) + -6
(5 * -3 + x * -3) + -9(-2x + -1) = 14(x + 1) + -6
(-15 + -3x) + -9(-2x + -1) = 14(x + 1) + -6

Reorder the terms:
-15 + -3x + -9(-1 + -2x) = 14(x + 1) + -6
-15 + -3x + (-1 * -9 + -2x * -9) = 14(x + 1) + -6
-15 + -3x + (9 + 18x) = 14(x + 1) + -6

Reorder the terms:
-15 + 9 + -3x + 18x = 14(x + 1) + -6

Combine like terms: -15 + 9 = -6
-6 + -3x + 18x = 14(x + 1) + -6

Combine like terms: -3x + 18x = 15x
-6 + 15x = 14(x + 1) + -6

Reorder the terms:
-6 + 15x = 14(1 + x) + -6
-6 + 15x = (1 * 14 + x * 14) + -6
-6 + 15x = (14 + 14x) + -6

Reorder the terms:
-6 + 15x = 14 + -6 + 14x

Combine like terms: 14 + -6 = 8
-6 + 15x = 8 + 14x

Solving
-6 + 15x = 8 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-6 + 15x + -14x = 8 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-6 + 1x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + 1x = 8 + 0
-6 + 1x = 8

Add '6' to each side of the equation.
-6 + 6 + 1x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 8 + 6
1x = 8 + 6

Combine like terms: 8 + 6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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