10-2(x+3)=3+3(2x+5)

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Solution for 10-2(x+3)=3+3(2x+5) equation:


Simplifying
10 + -2(x + 3) = 3 + 3(2x + 5)

Reorder the terms:
10 + -2(3 + x) = 3 + 3(2x + 5)
10 + (3 * -2 + x * -2) = 3 + 3(2x + 5)
10 + (-6 + -2x) = 3 + 3(2x + 5)

Combine like terms: 10 + -6 = 4
4 + -2x = 3 + 3(2x + 5)

Reorder the terms:
4 + -2x = 3 + 3(5 + 2x)
4 + -2x = 3 + (5 * 3 + 2x * 3)
4 + -2x = 3 + (15 + 6x)

Combine like terms: 3 + 15 = 18
4 + -2x = 18 + 6x

Solving
4 + -2x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + -2x + -6x = 18 + 6x + -6x

Combine like terms: -2x + -6x = -8x
4 + -8x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -8x = 18 + 0
4 + -8x = 18

Add '-4' to each side of the equation.
4 + -4 + -8x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 18 + -4
-8x = 18 + -4

Combine like terms: 18 + -4 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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