7+2(3x-6)=8-5(2x+1)

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Solution for 7+2(3x-6)=8-5(2x+1) equation:


Simplifying
7 + 2(3x + -6) = 8 + -5(2x + 1)

Reorder the terms:
7 + 2(-6 + 3x) = 8 + -5(2x + 1)
7 + (-6 * 2 + 3x * 2) = 8 + -5(2x + 1)
7 + (-12 + 6x) = 8 + -5(2x + 1)

Combine like terms: 7 + -12 = -5
-5 + 6x = 8 + -5(2x + 1)

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

Combine like terms: 8 + -5 = 3
-5 + 6x = 3 + -10x

Solving
-5 + 6x = 3 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-5 + 6x + 10x = 3 + -10x + 10x

Combine like terms: 6x + 10x = 16x
-5 + 16x = 3 + -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 16x = 3 + 0
-5 + 16x = 3

Add '5' to each side of the equation.
-5 + 5 + 16x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = 3 + 5
16x = 3 + 5

Combine like terms: 3 + 5 = 8
16x = 8

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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