6(5x+7)-8x=7x-33

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Solution for 6(5x+7)-8x=7x-33 equation:


Simplifying
6(5x + 7) + -8x = 7x + -33

Reorder the terms:
6(7 + 5x) + -8x = 7x + -33
(7 * 6 + 5x * 6) + -8x = 7x + -33
(42 + 30x) + -8x = 7x + -33

Combine like terms: 30x + -8x = 22x
42 + 22x = 7x + -33

Reorder the terms:
42 + 22x = -33 + 7x

Solving
42 + 22x = -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.
42 + 22x + -7x = -33 + 7x + -7x

Combine like terms: 22x + -7x = 15x
42 + 15x = -33 + 7x + -7x

Combine like terms: 7x + -7x = 0
42 + 15x = -33 + 0
42 + 15x = -33

Add '-42' to each side of the equation.
42 + -42 + 15x = -33 + -42

Combine like terms: 42 + -42 = 0
0 + 15x = -33 + -42
15x = -33 + -42

Combine like terms: -33 + -42 = -75
15x = -75

Divide each side by '15'.
x = -5

Simplifying
x = -5

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