10x-(7x+2)=8x-32

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Solution for 10x-(7x+2)=8x-32 equation:


Simplifying
10x + -1(7x + 2) = 8x + -32

Reorder the terms:
10x + -1(2 + 7x) = 8x + -32
10x + (2 * -1 + 7x * -1) = 8x + -32
10x + (-2 + -7x) = 8x + -32

Reorder the terms:
-2 + 10x + -7x = 8x + -32

Combine like terms: 10x + -7x = 3x
-2 + 3x = 8x + -32

Reorder the terms:
-2 + 3x = -32 + 8x

Solving
-2 + 3x = -32 + 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.
-2 + 3x + -8x = -32 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-2 + -5x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -5x = -32 + 0
-2 + -5x = -32

Add '2' to each side of the equation.
-2 + 2 + -5x = -32 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -32 + 2
-5x = -32 + 2

Combine like terms: -32 + 2 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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