5(4x+4)-(10x+29)+8=2(3x+5)-2x+3-(2x-10)+2x

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Solution for 5(4x+4)-(10x+29)+8=2(3x+5)-2x+3-(2x-10)+2x equation: 


Simplifying
5(4x + 4) + -1(10x + 29) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Reorder the terms:
5(4 + 4x) + -1(10x + 29) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x
(4 * 5 + 4x * 5) + -1(10x + 29) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x
(20 + 20x) + -1(10x + 29) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Reorder the terms:
20 + 20x + -1(29 + 10x) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x
20 + 20x + (29 * -1 + 10x * -1) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x
20 + 20x + (-29 + -10x) + 8 = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Reorder the terms:
20 + -29 + 8 + 20x + -10x = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Combine like terms: 20 + -29 = -9
-9 + 8 + 20x + -10x = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Combine like terms: -9 + 8 = -1
-1 + 20x + -10x = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Combine like terms: 20x + -10x = 10x
-1 + 10x = 2(3x + 5) + -2x + 3 + -1(2x + -10) + 2x

Reorder the terms:
-1 + 10x = 2(5 + 3x) + -2x + 3 + -1(2x + -10) + 2x
-1 + 10x = (5 * 2 + 3x * 2) + -2x + 3 + -1(2x + -10) + 2x
-1 + 10x = (10 + 6x) + -2x + 3 + -1(2x + -10) + 2x

Reorder the terms:
-1 + 10x = 10 + 6x + -2x + 3 + -1(-10 + 2x) + 2x
-1 + 10x = 10 + 6x + -2x + 3 + (-10 * -1 + 2x * -1) + 2x
-1 + 10x = 10 + 6x + -2x + 3 + (10 + -2x) + 2x

Reorder the terms:
-1 + 10x = 10 + 3 + 10 + 6x + -2x + -2x + 2x

Combine like terms: 10 + 3 = 13
-1 + 10x = 13 + 10 + 6x + -2x + -2x + 2x

Combine like terms: 13 + 10 = 23
-1 + 10x = 23 + 6x + -2x + -2x + 2x

Combine like terms: 6x + -2x = 4x
-1 + 10x = 23 + 4x + -2x + 2x

Combine like terms: 4x + -2x = 2x
-1 + 10x = 23 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-1 + 10x = 23 + 4x

Solving
-1 + 10x = 23 + 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.
-1 + 10x + -4x = 23 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-1 + 6x = 23 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 6x = 23 + 0
-1 + 6x = 23

Add '1' to each side of the equation.
-1 + 1 + 6x = 23 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 23 + 1
6x = 23 + 1

Combine like terms: 23 + 1 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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