-10+4x-5(x+9)-(x+10)=-15(6-x)-10+4x-5(x-11)

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Solution for -10+4x-5(x+9)-(x+10)=-15(6-x)-10+4x-5(x-11) equation: 


Simplifying
-10 + 4x + -5(x + 9) + -1(x + 10) = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Reorder the terms:
-10 + 4x + -5(9 + x) + -1(x + 10) = -15(6 + -1x) + -10 + 4x + -5(x + -11)
-10 + 4x + (9 * -5 + x * -5) + -1(x + 10) = -15(6 + -1x) + -10 + 4x + -5(x + -11)
-10 + 4x + (-45 + -5x) + -1(x + 10) = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Reorder the terms:
-10 + 4x + -45 + -5x + -1(10 + x) = -15(6 + -1x) + -10 + 4x + -5(x + -11)
-10 + 4x + -45 + -5x + (10 * -1 + x * -1) = -15(6 + -1x) + -10 + 4x + -5(x + -11)
-10 + 4x + -45 + -5x + (-10 + -1x) = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Reorder the terms:
-10 + -45 + -10 + 4x + -5x + -1x = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Combine like terms: -10 + -45 = -55
-55 + -10 + 4x + -5x + -1x = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Combine like terms: -55 + -10 = -65
-65 + 4x + -5x + -1x = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Combine like terms: 4x + -5x = -1x
-65 + -1x + -1x = -15(6 + -1x) + -10 + 4x + -5(x + -11)

Combine like terms: -1x + -1x = -2x
-65 + -2x = -15(6 + -1x) + -10 + 4x + -5(x + -11)
-65 + -2x = (6 * -15 + -1x * -15) + -10 + 4x + -5(x + -11)
-65 + -2x = (-90 + 15x) + -10 + 4x + -5(x + -11)

Reorder the terms:
-65 + -2x = -90 + 15x + -10 + 4x + -5(-11 + x)
-65 + -2x = -90 + 15x + -10 + 4x + (-11 * -5 + x * -5)
-65 + -2x = -90 + 15x + -10 + 4x + (55 + -5x)

Reorder the terms:
-65 + -2x = -90 + -10 + 55 + 15x + 4x + -5x

Combine like terms: -90 + -10 = -100
-65 + -2x = -100 + 55 + 15x + 4x + -5x

Combine like terms: -100 + 55 = -45
-65 + -2x = -45 + 15x + 4x + -5x

Combine like terms: 15x + 4x = 19x
-65 + -2x = -45 + 19x + -5x

Combine like terms: 19x + -5x = 14x
-65 + -2x = -45 + 14x

Solving
-65 + -2x = -45 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-65 + -2x + -14x = -45 + 14x + -14x

Combine like terms: -2x + -14x = -16x
-65 + -16x = -45 + 14x + -14x

Combine like terms: 14x + -14x = 0
-65 + -16x = -45 + 0
-65 + -16x = -45

Add '65' to each side of the equation.
-65 + 65 + -16x = -45 + 65

Combine like terms: -65 + 65 = 0
0 + -16x = -45 + 65
-16x = -45 + 65

Combine like terms: -45 + 65 = 20
-16x = 20

Divide each side by '-16'.
x = -1.25

Simplifying
x = -1.25

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