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

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


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

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

Reorder the terms:
-6 + 7x + -2x = 8x + -5

Combine like terms: 7x + -2x = 5x
-6 + 5x = 8x + -5

Reorder the terms:
-6 + 5x = -5 + 8x

Solving
-6 + 5x = -5 + 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.
-6 + 5x + -8x = -5 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-6 + -3x = -5 + 0
-6 + -3x = -5

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

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

Combine like terms: -5 + 6 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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