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

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


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

Reorder the terms:
4(3 + 8x) + -2(5 + 3x) = 5(x + 12) + 5
(3 * 4 + 8x * 4) + -2(5 + 3x) = 5(x + 12) + 5
(12 + 32x) + -2(5 + 3x) = 5(x + 12) + 5
12 + 32x + (5 * -2 + 3x * -2) = 5(x + 12) + 5
12 + 32x + (-10 + -6x) = 5(x + 12) + 5

Reorder the terms:
12 + -10 + 32x + -6x = 5(x + 12) + 5

Combine like terms: 12 + -10 = 2
2 + 32x + -6x = 5(x + 12) + 5

Combine like terms: 32x + -6x = 26x
2 + 26x = 5(x + 12) + 5

Reorder the terms:
2 + 26x = 5(12 + x) + 5
2 + 26x = (12 * 5 + x * 5) + 5
2 + 26x = (60 + 5x) + 5

Reorder the terms:
2 + 26x = 60 + 5 + 5x

Combine like terms: 60 + 5 = 65
2 + 26x = 65 + 5x

Solving
2 + 26x = 65 + 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.
2 + 26x + -5x = 65 + 5x + -5x

Combine like terms: 26x + -5x = 21x
2 + 21x = 65 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 21x = 65 + 0
2 + 21x = 65

Add '-2' to each side of the equation.
2 + -2 + 21x = 65 + -2

Combine like terms: 2 + -2 = 0
0 + 21x = 65 + -2
21x = 65 + -2

Combine like terms: 65 + -2 = 63
21x = 63

Divide each side by '21'.
x = 3

Simplifying
x = 3

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