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

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


Simplifying
(2 + 5) + -1(x + -3) = 3x + 8

Combine like terms: 2 + 5 = 7
(7) + -1(x + -3) = 3x + 8
7 + -1(x + -3) = 3x + 8

Reorder the terms:
7 + -1(-3 + x) = 3x + 8
7 + (-3 * -1 + x * -1) = 3x + 8
7 + (3 + -1x) = 3x + 8

Combine like terms: 7 + 3 = 10
10 + -1x = 3x + 8

Reorder the terms:
10 + -1x = 8 + 3x

Solving
10 + -1x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -1x + -3x = 8 + 3x + -3x

Combine like terms: -1x + -3x = -4x
10 + -4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -4x = 8 + 0
10 + -4x = 8

Add '-10' to each side of the equation.
10 + -10 + -4x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 8 + -10
-4x = 8 + -10

Combine like terms: 8 + -10 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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