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

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


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

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

Reorder the terms:
-10 + 8x + -5x = 7x + 6

Combine like terms: 8x + -5x = 3x
-10 + 3x = 7x + 6

Reorder the terms:
-10 + 3x = 6 + 7x

Solving
-10 + 3x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-10 + 3x + -7x = 6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-10 + -4x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -4x = 6 + 0
-10 + -4x = 6

Add '10' to each side of the equation.
-10 + 10 + -4x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 6 + 10
-4x = 6 + 10

Combine like terms: 6 + 10 = 16
-4x = 16

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

Simplifying
x = -4

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