18-(4x+9)=3(2-x)+4

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Solution for 18-(4x+9)=3(2-x)+4 equation:


Simplifying
18 + -1(4x + 9) = 3(2 + -1x) + 4

Reorder the terms:
18 + -1(9 + 4x) = 3(2 + -1x) + 4
18 + (9 * -1 + 4x * -1) = 3(2 + -1x) + 4
18 + (-9 + -4x) = 3(2 + -1x) + 4

Combine like terms: 18 + -9 = 9
9 + -4x = 3(2 + -1x) + 4
9 + -4x = (2 * 3 + -1x * 3) + 4
9 + -4x = (6 + -3x) + 4

Reorder the terms:
9 + -4x = 6 + 4 + -3x

Combine like terms: 6 + 4 = 10
9 + -4x = 10 + -3x

Solving
9 + -4x = 10 + -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.
9 + -4x + 3x = 10 + -3x + 3x

Combine like terms: -4x + 3x = -1x
9 + -1x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + -1x = 10 + 0
9 + -1x = 10

Add '-9' to each side of the equation.
9 + -9 + -1x = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 10 + -9
-1x = 10 + -9

Combine like terms: 10 + -9 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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