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

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


Simplifying
33 + -1(x + 8) = 7x + -7

Reorder the terms:
33 + -1(8 + x) = 7x + -7
33 + (8 * -1 + x * -1) = 7x + -7
33 + (-8 + -1x) = 7x + -7

Combine like terms: 33 + -8 = 25
25 + -1x = 7x + -7

Reorder the terms:
25 + -1x = -7 + 7x

Solving
25 + -1x = -7 + 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.
25 + -1x + -7x = -7 + 7x + -7x

Combine like terms: -1x + -7x = -8x
25 + -8x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
25 + -8x = -7 + 0
25 + -8x = -7

Add '-25' to each side of the equation.
25 + -25 + -8x = -7 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = -7 + -25
-8x = -7 + -25

Combine like terms: -7 + -25 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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