-4(x-8)=-7x+2

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Solution for -4(x-8)=-7x+2 equation:


Simplifying
-4(x + -8) = -7x + 2

Reorder the terms:
-4(-8 + x) = -7x + 2
(-8 * -4 + x * -4) = -7x + 2
(32 + -4x) = -7x + 2

Reorder the terms:
32 + -4x = 2 + -7x

Solving
32 + -4x = 2 + -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.
32 + -4x + 7x = 2 + -7x + 7x

Combine like terms: -4x + 7x = 3x
32 + 3x = 2 + -7x + 7x

Combine like terms: -7x + 7x = 0
32 + 3x = 2 + 0
32 + 3x = 2

Add '-32' to each side of the equation.
32 + -32 + 3x = 2 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = 2 + -32
3x = 2 + -32

Combine like terms: 2 + -32 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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