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

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


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

Reorder the terms:
5(-3 + 2x) + (x + 8) = 4(x + 6)
(-3 * 5 + 2x * 5) + (x + 8) = 4(x + 6)
(-15 + 10x) + (x + 8) = 4(x + 6)

Reorder the terms:
-15 + 10x + (8 + x) = 4(x + 6)

Remove parenthesis around (8 + x)
-15 + 10x + 8 + x = 4(x + 6)

Reorder the terms:
-15 + 8 + 10x + x = 4(x + 6)

Combine like terms: -15 + 8 = -7
-7 + 10x + x = 4(x + 6)

Combine like terms: 10x + x = 11x
-7 + 11x = 4(x + 6)

Reorder the terms:
-7 + 11x = 4(6 + x)
-7 + 11x = (6 * 4 + x * 4)
-7 + 11x = (24 + 4x)

Solving
-7 + 11x = 24 + 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.
-7 + 11x + -4x = 24 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-7 + 7x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 7x = 24 + 0
-7 + 7x = 24

Add '7' to each side of the equation.
-7 + 7 + 7x = 24 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 24 + 7
7x = 24 + 7

Combine like terms: 24 + 7 = 31
7x = 31

Divide each side by '7'.
x = 4.428571429

Simplifying
x = 4.428571429

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