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

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


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

Reorder the terms:
9x + -5(-5 + x) = 2(x + -4) + 3
9x + (-5 * -5 + x * -5) = 2(x + -4) + 3
9x + (25 + -5x) = 2(x + -4) + 3

Reorder the terms:
25 + 9x + -5x = 2(x + -4) + 3

Combine like terms: 9x + -5x = 4x
25 + 4x = 2(x + -4) + 3

Reorder the terms:
25 + 4x = 2(-4 + x) + 3
25 + 4x = (-4 * 2 + x * 2) + 3
25 + 4x = (-8 + 2x) + 3

Reorder the terms:
25 + 4x = -8 + 3 + 2x

Combine like terms: -8 + 3 = -5
25 + 4x = -5 + 2x

Solving
25 + 4x = -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.
25 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
25 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + 2x = -5 + 0
25 + 2x = -5

Add '-25' to each side of the equation.
25 + -25 + 2x = -5 + -25

Combine like terms: 25 + -25 = 0
0 + 2x = -5 + -25
2x = -5 + -25

Combine like terms: -5 + -25 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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