-5(-11x-4)+3(x-5+6)-(10x-5)=7(4x-5+6)+2x-10+(25-10)+4-13

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Solution for -5(-11x-4)+3(x-5+6)-(10x-5)=7(4x-5+6)+2x-10+(25-10)+4-13 equation:


Simplifying
-5(-11x + -4) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Reorder the terms:
-5(-4 + -11x) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
(-4 * -5 + -11x * -5) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
(20 + 55x) + 3(x + -5 + 6) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Reorder the terms:
20 + 55x + 3(-5 + 6 + x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: -5 + 6 = 1
20 + 55x + 3(1 + x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
20 + 55x + (1 * 3 + x * 3) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
20 + 55x + (3 + 3x) + -1(10x + -5) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Reorder the terms:
20 + 55x + 3 + 3x + -1(-5 + 10x) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
20 + 55x + 3 + 3x + (-5 * -1 + 10x * -1) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13
20 + 55x + 3 + 3x + (5 + -10x) = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Reorder the terms:
20 + 3 + 5 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: 20 + 3 = 23
23 + 5 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: 23 + 5 = 28
28 + 55x + 3x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: 55x + 3x = 58x
28 + 58x + -10x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: 58x + -10x = 48x
28 + 48x = 7(4x + -5 + 6) + 2x + -10 + (25 + -10) + 4 + -13

Reorder the terms:
28 + 48x = 7(-5 + 6 + 4x) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: -5 + 6 = 1
28 + 48x = 7(1 + 4x) + 2x + -10 + (25 + -10) + 4 + -13
28 + 48x = (1 * 7 + 4x * 7) + 2x + -10 + (25 + -10) + 4 + -13
28 + 48x = (7 + 28x) + 2x + -10 + (25 + -10) + 4 + -13

Combine like terms: 25 + -10 = 15
28 + 48x = 7 + 28x + 2x + -10 + (15) + 4 + -13
28 + 48x = 7 + 28x + 2x + -10 + 15 + 4 + -13

Reorder the terms:
28 + 48x = 7 + -10 + 15 + 4 + -13 + 28x + 2x

Combine like terms: 7 + -10 = -3
28 + 48x = -3 + 15 + 4 + -13 + 28x + 2x

Combine like terms: -3 + 15 = 12
28 + 48x = 12 + 4 + -13 + 28x + 2x

Combine like terms: 12 + 4 = 16
28 + 48x = 16 + -13 + 28x + 2x

Combine like terms: 16 + -13 = 3
28 + 48x = 3 + 28x + 2x

Combine like terms: 28x + 2x = 30x
28 + 48x = 3 + 30x

Solving
28 + 48x = 3 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
28 + 48x + -30x = 3 + 30x + -30x

Combine like terms: 48x + -30x = 18x
28 + 18x = 3 + 30x + -30x

Combine like terms: 30x + -30x = 0
28 + 18x = 3 + 0
28 + 18x = 3

Add '-28' to each side of the equation.
28 + -28 + 18x = 3 + -28

Combine like terms: 28 + -28 = 0
0 + 18x = 3 + -28
18x = 3 + -28

Combine like terms: 3 + -28 = -25
18x = -25

Divide each side by '18'.
x = -1.388888889

Simplifying
x = -1.388888889

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