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

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


Simplifying
5(4 + -3x) + 2x = 9 + -1(4 + -2x)
(4 * 5 + -3x * 5) + 2x = 9 + -1(4 + -2x)
(20 + -15x) + 2x = 9 + -1(4 + -2x)

Combine like terms: -15x + 2x = -13x
20 + -13x = 9 + -1(4 + -2x)
20 + -13x = 9 + (4 * -1 + -2x * -1)
20 + -13x = 9 + (-4 + 2x)

Combine like terms: 9 + -4 = 5
20 + -13x = 5 + 2x

Solving
20 + -13x = 5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -13x + -2x = 5 + 2x + -2x

Combine like terms: -13x + -2x = -15x
20 + -15x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -15x = 5 + 0
20 + -15x = 5

Add '-20' to each side of the equation.
20 + -20 + -15x = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -15x = 5 + -20
-15x = 5 + -20

Combine like terms: 5 + -20 = -15
-15x = -15

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

Simplifying
x = 1

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