2+5(x+3)=8x-7

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Solution for 2+5(x+3)=8x-7 equation:


Simplifying
2 + 5(x + 3) = 8x + -7

Reorder the terms:
2 + 5(3 + x) = 8x + -7
2 + (3 * 5 + x * 5) = 8x + -7
2 + (15 + 5x) = 8x + -7

Combine like terms: 2 + 15 = 17
17 + 5x = 8x + -7

Reorder the terms:
17 + 5x = -7 + 8x

Solving
17 + 5x = -7 + 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.
17 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
17 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
17 + -3x = -7 + 0
17 + -3x = -7

Add '-17' to each side of the equation.
17 + -17 + -3x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -7 + -17
-3x = -7 + -17

Combine like terms: -7 + -17 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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