10x+6(4x+6)=8(15-x)

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Solution for 10x+6(4x+6)=8(15-x) equation:


Simplifying
10x + 6(4x + 6) = 8(15 + -1x)

Reorder the terms:
10x + 6(6 + 4x) = 8(15 + -1x)
10x + (6 * 6 + 4x * 6) = 8(15 + -1x)
10x + (36 + 24x) = 8(15 + -1x)

Reorder the terms:
36 + 10x + 24x = 8(15 + -1x)

Combine like terms: 10x + 24x = 34x
36 + 34x = 8(15 + -1x)
36 + 34x = (15 * 8 + -1x * 8)
36 + 34x = (120 + -8x)

Solving
36 + 34x = 120 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
36 + 34x + 8x = 120 + -8x + 8x

Combine like terms: 34x + 8x = 42x
36 + 42x = 120 + -8x + 8x

Combine like terms: -8x + 8x = 0
36 + 42x = 120 + 0
36 + 42x = 120

Add '-36' to each side of the equation.
36 + -36 + 42x = 120 + -36

Combine like terms: 36 + -36 = 0
0 + 42x = 120 + -36
42x = 120 + -36

Combine like terms: 120 + -36 = 84
42x = 84

Divide each side by '42'.
x = 2

Simplifying
x = 2

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