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

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


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

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

Reorder the terms:
15 + 2x + 5x + 3x = 8x + -3

Combine like terms: 2x + 5x = 7x
15 + 7x + 3x = 8x + -3

Combine like terms: 7x + 3x = 10x
15 + 10x = 8x + -3

Reorder the terms:
15 + 10x = -3 + 8x

Solving
15 + 10x = -3 + 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.
15 + 10x + -8x = -3 + 8x + -8x

Combine like terms: 10x + -8x = 2x
15 + 2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + 2x = -3 + 0
15 + 2x = -3

Add '-15' to each side of the equation.
15 + -15 + 2x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -3 + -15
2x = -3 + -15

Combine like terms: -3 + -15 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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