8x-2(2x+2)=7x-33

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Solution for 8x-2(2x+2)=7x-33 equation:


Simplifying
8x + -2(2x + 2) = 7x + -33

Reorder the terms:
8x + -2(2 + 2x) = 7x + -33
8x + (2 * -2 + 2x * -2) = 7x + -33
8x + (-4 + -4x) = 7x + -33

Reorder the terms:
-4 + 8x + -4x = 7x + -33

Combine like terms: 8x + -4x = 4x
-4 + 4x = 7x + -33

Reorder the terms:
-4 + 4x = -33 + 7x

Solving
-4 + 4x = -33 + 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.
-4 + 4x + -7x = -33 + 7x + -7x

Combine like terms: 4x + -7x = -3x
-4 + -3x = -33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -3x = -33 + 0
-4 + -3x = -33

Add '4' to each side of the equation.
-4 + 4 + -3x = -33 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -33 + 4
-3x = -33 + 4

Combine like terms: -33 + 4 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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