5x-2(x-9)=3+4x

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Solution for 5x-2(x-9)=3+4x equation:


Simplifying
5x + -2(x + -9) = 3 + 4x

Reorder the terms:
5x + -2(-9 + x) = 3 + 4x
5x + (-9 * -2 + x * -2) = 3 + 4x
5x + (18 + -2x) = 3 + 4x

Reorder the terms:
18 + 5x + -2x = 3 + 4x

Combine like terms: 5x + -2x = 3x
18 + 3x = 3 + 4x

Solving
18 + 3x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 3x + -4x = 3 + 4x + -4x

Combine like terms: 3x + -4x = -1x
18 + -1x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -1x = 3 + 0
18 + -1x = 3

Add '-18' to each side of the equation.
18 + -18 + -1x = 3 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 3 + -18
-1x = 3 + -18

Combine like terms: 3 + -18 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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