15+2(x-3)=6(x-5)+3x-(5x-4)

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Solution for 15+2(x-3)=6(x-5)+3x-(5x-4) equation:


Simplifying
15 + 2(x + -3) = 6(x + -5) + 3x + -1(5x + -4)

Reorder the terms:
15 + 2(-3 + x) = 6(x + -5) + 3x + -1(5x + -4)
15 + (-3 * 2 + x * 2) = 6(x + -5) + 3x + -1(5x + -4)
15 + (-6 + 2x) = 6(x + -5) + 3x + -1(5x + -4)

Combine like terms: 15 + -6 = 9
9 + 2x = 6(x + -5) + 3x + -1(5x + -4)

Reorder the terms:
9 + 2x = 6(-5 + x) + 3x + -1(5x + -4)
9 + 2x = (-5 * 6 + x * 6) + 3x + -1(5x + -4)
9 + 2x = (-30 + 6x) + 3x + -1(5x + -4)

Reorder the terms:
9 + 2x = -30 + 6x + 3x + -1(-4 + 5x)
9 + 2x = -30 + 6x + 3x + (-4 * -1 + 5x * -1)
9 + 2x = -30 + 6x + 3x + (4 + -5x)

Reorder the terms:
9 + 2x = -30 + 4 + 6x + 3x + -5x

Combine like terms: -30 + 4 = -26
9 + 2x = -26 + 6x + 3x + -5x

Combine like terms: 6x + 3x = 9x
9 + 2x = -26 + 9x + -5x

Combine like terms: 9x + -5x = 4x
9 + 2x = -26 + 4x

Solving
9 + 2x = -26 + 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.
9 + 2x + -4x = -26 + 4x + -4x

Combine like terms: 2x + -4x = -2x
9 + -2x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -2x = -26 + 0
9 + -2x = -26

Add '-9' to each side of the equation.
9 + -9 + -2x = -26 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -26 + -9
-2x = -26 + -9

Combine like terms: -26 + -9 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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