4x(x+8)-(6x-3)=4x(2+x)+2(x-12)-5

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Solution for 4x(x+8)-(6x-3)=4x(2+x)+2(x-12)-5 equation: 


Simplifying
4x(x + 8) + -1(6x + -3) = 4x(2 + x) + 2(x + -12) + -5

Reorder the terms:
4x(8 + x) + -1(6x + -3) = 4x(2 + x) + 2(x + -12) + -5
(8 * 4x + x * 4x) + -1(6x + -3) = 4x(2 + x) + 2(x + -12) + -5
(32x + 4x2) + -1(6x + -3) = 4x(2 + x) + 2(x + -12) + -5

Reorder the terms:
32x + 4x2 + -1(-3 + 6x) = 4x(2 + x) + 2(x + -12) + -5
32x + 4x2 + (-3 * -1 + 6x * -1) = 4x(2 + x) + 2(x + -12) + -5
32x + 4x2 + (3 + -6x) = 4x(2 + x) + 2(x + -12) + -5

Reorder the terms:
3 + 32x + -6x + 4x2 = 4x(2 + x) + 2(x + -12) + -5

Combine like terms: 32x + -6x = 26x
3 + 26x + 4x2 = 4x(2 + x) + 2(x + -12) + -5
3 + 26x + 4x2 = (2 * 4x + x * 4x) + 2(x + -12) + -5
3 + 26x + 4x2 = (8x + 4x2) + 2(x + -12) + -5

Reorder the terms:
3 + 26x + 4x2 = 8x + 4x2 + 2(-12 + x) + -5
3 + 26x + 4x2 = 8x + 4x2 + (-12 * 2 + x * 2) + -5
3 + 26x + 4x2 = 8x + 4x2 + (-24 + 2x) + -5

Reorder the terms:
3 + 26x + 4x2 = -24 + -5 + 8x + 2x + 4x2

Combine like terms: -24 + -5 = -29
3 + 26x + 4x2 = -29 + 8x + 2x + 4x2

Combine like terms: 8x + 2x = 10x
3 + 26x + 4x2 = -29 + 10x + 4x2

Add '-4x2' to each side of the equation.
3 + 26x + 4x2 + -4x2 = -29 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + 26x + 0 = -29 + 10x + 4x2 + -4x2
3 + 26x = -29 + 10x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
3 + 26x = -29 + 10x + 0
3 + 26x = -29 + 10x

Solving
3 + 26x = -29 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + 26x + -10x = -29 + 10x + -10x

Combine like terms: 26x + -10x = 16x
3 + 16x = -29 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + 16x = -29 + 0
3 + 16x = -29

Add '-3' to each side of the equation.
3 + -3 + 16x = -29 + -3

Combine like terms: 3 + -3 = 0
0 + 16x = -29 + -3
16x = -29 + -3

Combine like terms: -29 + -3 = -32
16x = -32

Divide each side by '16'.
x = -2

Simplifying
x = -2

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