x-(2x+5)-5(1+2x)=2(3+4x)-3(x-4)

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Solution for x-(2x+5)-5(1+2x)=2(3+4x)-3(x-4) equation:


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

Reorder the terms:
x + -1(5 + 2x) + -5(1 + 2x) = 2(3 + 4x) + -3(x + -4)
x + (5 * -1 + 2x * -1) + -5(1 + 2x) = 2(3 + 4x) + -3(x + -4)
x + (-5 + -2x) + -5(1 + 2x) = 2(3 + 4x) + -3(x + -4)
x + -5 + -2x + (1 * -5 + 2x * -5) = 2(3 + 4x) + -3(x + -4)
x + -5 + -2x + (-5 + -10x) = 2(3 + 4x) + -3(x + -4)

Reorder the terms:
-5 + -5 + x + -2x + -10x = 2(3 + 4x) + -3(x + -4)

Combine like terms: -5 + -5 = -10
-10 + x + -2x + -10x = 2(3 + 4x) + -3(x + -4)

Combine like terms: x + -2x = -1x
-10 + -1x + -10x = 2(3 + 4x) + -3(x + -4)

Combine like terms: -1x + -10x = -11x
-10 + -11x = 2(3 + 4x) + -3(x + -4)
-10 + -11x = (3 * 2 + 4x * 2) + -3(x + -4)
-10 + -11x = (6 + 8x) + -3(x + -4)

Reorder the terms:
-10 + -11x = 6 + 8x + -3(-4 + x)
-10 + -11x = 6 + 8x + (-4 * -3 + x * -3)
-10 + -11x = 6 + 8x + (12 + -3x)

Reorder the terms:
-10 + -11x = 6 + 12 + 8x + -3x

Combine like terms: 6 + 12 = 18
-10 + -11x = 18 + 8x + -3x

Combine like terms: 8x + -3x = 5x
-10 + -11x = 18 + 5x

Solving
-10 + -11x = 18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + -11x + -5x = 18 + 5x + -5x

Combine like terms: -11x + -5x = -16x
-10 + -16x = 18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -16x = 18 + 0
-10 + -16x = 18

Add '10' to each side of the equation.
-10 + 10 + -16x = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -16x = 18 + 10
-16x = 18 + 10

Combine like terms: 18 + 10 = 28
-16x = 28

Divide each side by '-16'.
x = -1.75

Simplifying
x = -1.75

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