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

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


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

Reorder the terms:
5(3 + 3x) + 2(-3 + 8x) = 6(5x + 5) + 6
(3 * 5 + 3x * 5) + 2(-3 + 8x) = 6(5x + 5) + 6
(15 + 15x) + 2(-3 + 8x) = 6(5x + 5) + 6
15 + 15x + (-3 * 2 + 8x * 2) = 6(5x + 5) + 6
15 + 15x + (-6 + 16x) = 6(5x + 5) + 6

Reorder the terms:
15 + -6 + 15x + 16x = 6(5x + 5) + 6

Combine like terms: 15 + -6 = 9
9 + 15x + 16x = 6(5x + 5) + 6

Combine like terms: 15x + 16x = 31x
9 + 31x = 6(5x + 5) + 6

Reorder the terms:
9 + 31x = 6(5 + 5x) + 6
9 + 31x = (5 * 6 + 5x * 6) + 6
9 + 31x = (30 + 30x) + 6

Reorder the terms:
9 + 31x = 30 + 6 + 30x

Combine like terms: 30 + 6 = 36
9 + 31x = 36 + 30x

Solving
9 + 31x = 36 + 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.
9 + 31x + -30x = 36 + 30x + -30x

Combine like terms: 31x + -30x = 1x
9 + 1x = 36 + 30x + -30x

Combine like terms: 30x + -30x = 0
9 + 1x = 36 + 0
9 + 1x = 36

Add '-9' to each side of the equation.
9 + -9 + 1x = 36 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 36 + -9
1x = 36 + -9

Combine like terms: 36 + -9 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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