7+2(3x-5)=8-3(2x+1)

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Solution for 7+2(3x-5)=8-3(2x+1) equation:


Simplifying
7 + 2(3x + -5) = 8 + -3(2x + 1)

Reorder the terms:
7 + 2(-5 + 3x) = 8 + -3(2x + 1)
7 + (-5 * 2 + 3x * 2) = 8 + -3(2x + 1)
7 + (-10 + 6x) = 8 + -3(2x + 1)

Combine like terms: 7 + -10 = -3
-3 + 6x = 8 + -3(2x + 1)

Reorder the terms:
-3 + 6x = 8 + -3(1 + 2x)
-3 + 6x = 8 + (1 * -3 + 2x * -3)
-3 + 6x = 8 + (-3 + -6x)

Combine like terms: 8 + -3 = 5
-3 + 6x = 5 + -6x

Solving
-3 + 6x = 5 + -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.
-3 + 6x + 6x = 5 + -6x + 6x

Combine like terms: 6x + 6x = 12x
-3 + 12x = 5 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 12x = 5 + 0
-3 + 12x = 5

Add '3' to each side of the equation.
-3 + 3 + 12x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 12x = 5 + 3
12x = 5 + 3

Combine like terms: 5 + 3 = 8
12x = 8

Divide each side by '12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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