18-5(1-3x)=7x-2(2-5x)+9

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Solution for 18-5(1-3x)=7x-2(2-5x)+9 equation:


Simplifying
18 + -5(1 + -3x) = 7x + -2(2 + -5x) + 9
18 + (1 * -5 + -3x * -5) = 7x + -2(2 + -5x) + 9
18 + (-5 + 15x) = 7x + -2(2 + -5x) + 9

Combine like terms: 18 + -5 = 13
13 + 15x = 7x + -2(2 + -5x) + 9
13 + 15x = 7x + (2 * -2 + -5x * -2) + 9
13 + 15x = 7x + (-4 + 10x) + 9

Reorder the terms:
13 + 15x = -4 + 9 + 7x + 10x

Combine like terms: -4 + 9 = 5
13 + 15x = 5 + 7x + 10x

Combine like terms: 7x + 10x = 17x
13 + 15x = 5 + 17x

Solving
13 + 15x = 5 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
13 + 15x + -17x = 5 + 17x + -17x

Combine like terms: 15x + -17x = -2x
13 + -2x = 5 + 17x + -17x

Combine like terms: 17x + -17x = 0
13 + -2x = 5 + 0
13 + -2x = 5

Add '-13' to each side of the equation.
13 + -13 + -2x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 5 + -13
-2x = 5 + -13

Combine like terms: 5 + -13 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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