5+3x+4(8-2x)=7-7x-(-8)-2x

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Solution for 5+3x+4(8-2x)=7-7x-(-8)-2x equation:


Simplifying
5 + 3x + 4(8 + -2x) = 7 + -7x + -1(-8) + -2x
5 + 3x + (8 * 4 + -2x * 4) = 7 + -7x + -1(-8) + -2x
5 + 3x + (32 + -8x) = 7 + -7x + -1(-8) + -2x

Reorder the terms:
5 + 32 + 3x + -8x = 7 + -7x + -1(-8) + -2x

Combine like terms: 5 + 32 = 37
37 + 3x + -8x = 7 + -7x + -1(-8) + -2x

Combine like terms: 3x + -8x = -5x
37 + -5x = 7 + -7x + -1(-8) + -2x

Multiply -1 * -8
37 + -5x = 7 + -7x + 8 + -2x

Reorder the terms:
37 + -5x = 7 + 8 + -7x + -2x

Combine like terms: 7 + 8 = 15
37 + -5x = 15 + -7x + -2x

Combine like terms: -7x + -2x = -9x
37 + -5x = 15 + -9x

Solving
37 + -5x = 15 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
37 + -5x + 9x = 15 + -9x + 9x

Combine like terms: -5x + 9x = 4x
37 + 4x = 15 + -9x + 9x

Combine like terms: -9x + 9x = 0
37 + 4x = 15 + 0
37 + 4x = 15

Add '-37' to each side of the equation.
37 + -37 + 4x = 15 + -37

Combine like terms: 37 + -37 = 0
0 + 4x = 15 + -37
4x = 15 + -37

Combine like terms: 15 + -37 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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