9(x+1)+4(x+1)=5x-5

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Solution for 9(x+1)+4(x+1)=5x-5 equation:


Simplifying
9(x + 1) + 4(x + 1) = 5x + -5

Reorder the terms:
9(1 + x) + 4(x + 1) = 5x + -5
(1 * 9 + x * 9) + 4(x + 1) = 5x + -5
(9 + 9x) + 4(x + 1) = 5x + -5

Reorder the terms:
9 + 9x + 4(1 + x) = 5x + -5
9 + 9x + (1 * 4 + x * 4) = 5x + -5
9 + 9x + (4 + 4x) = 5x + -5

Reorder the terms:
9 + 4 + 9x + 4x = 5x + -5

Combine like terms: 9 + 4 = 13
13 + 9x + 4x = 5x + -5

Combine like terms: 9x + 4x = 13x
13 + 13x = 5x + -5

Reorder the terms:
13 + 13x = -5 + 5x

Solving
13 + 13x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 13x + -5x = -5 + 5x + -5x

Combine like terms: 13x + -5x = 8x
13 + 8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + 8x = -5 + 0
13 + 8x = -5

Add '-13' to each side of the equation.
13 + -13 + 8x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 8x = -5 + -13
8x = -5 + -13

Combine like terms: -5 + -13 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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