8x-10=7x-3(x+2)

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Solution for 8x-10=7x-3(x+2) equation:


Simplifying
8x + -10 = 7x + -3(x + 2)

Reorder the terms:
-10 + 8x = 7x + -3(x + 2)

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

Reorder the terms:
-10 + 8x = -6 + 7x + -3x

Combine like terms: 7x + -3x = 4x
-10 + 8x = -6 + 4x

Solving
-10 + 8x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 8x + -4x = -6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-10 + 4x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 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 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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