9(x-1)+4(x+1)=18-3x

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Solution for 9(x-1)+4(x+1)=18-3x equation:


Simplifying
9(x + -1) + 4(x + 1) = 18 + -3x

Reorder the terms:
9(-1 + x) + 4(x + 1) = 18 + -3x
(-1 * 9 + x * 9) + 4(x + 1) = 18 + -3x
(-9 + 9x) + 4(x + 1) = 18 + -3x

Reorder the terms:
-9 + 9x + 4(1 + x) = 18 + -3x
-9 + 9x + (1 * 4 + x * 4) = 18 + -3x
-9 + 9x + (4 + 4x) = 18 + -3x

Reorder the terms:
-9 + 4 + 9x + 4x = 18 + -3x

Combine like terms: -9 + 4 = -5
-5 + 9x + 4x = 18 + -3x

Combine like terms: 9x + 4x = 13x
-5 + 13x = 18 + -3x

Solving
-5 + 13x = 18 + -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.
-5 + 13x + 3x = 18 + -3x + 3x

Combine like terms: 13x + 3x = 16x
-5 + 16x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 16x = 18 + 0
-5 + 16x = 18

Add '5' to each side of the equation.
-5 + 5 + 16x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = 18 + 5
16x = 18 + 5

Combine like terms: 18 + 5 = 23
16x = 23

Divide each side by '16'.
x = 1.4375

Simplifying
x = 1.4375

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