5(x-4)-2(x+7)=6(2x+17)

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Solution for 5(x-4)-2(x+7)=6(2x+17) equation:


Simplifying
5(x + -4) + -2(x + 7) = 6(2x + 17)

Reorder the terms:
5(-4 + x) + -2(x + 7) = 6(2x + 17)
(-4 * 5 + x * 5) + -2(x + 7) = 6(2x + 17)
(-20 + 5x) + -2(x + 7) = 6(2x + 17)

Reorder the terms:
-20 + 5x + -2(7 + x) = 6(2x + 17)
-20 + 5x + (7 * -2 + x * -2) = 6(2x + 17)
-20 + 5x + (-14 + -2x) = 6(2x + 17)

Reorder the terms:
-20 + -14 + 5x + -2x = 6(2x + 17)

Combine like terms: -20 + -14 = -34
-34 + 5x + -2x = 6(2x + 17)

Combine like terms: 5x + -2x = 3x
-34 + 3x = 6(2x + 17)

Reorder the terms:
-34 + 3x = 6(17 + 2x)
-34 + 3x = (17 * 6 + 2x * 6)
-34 + 3x = (102 + 12x)

Solving
-34 + 3x = 102 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-34 + 3x + -12x = 102 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-34 + -9x = 102 + 12x + -12x

Combine like terms: 12x + -12x = 0
-34 + -9x = 102 + 0
-34 + -9x = 102

Add '34' to each side of the equation.
-34 + 34 + -9x = 102 + 34

Combine like terms: -34 + 34 = 0
0 + -9x = 102 + 34
-9x = 102 + 34

Combine like terms: 102 + 34 = 136
-9x = 136

Divide each side by '-9'.
x = -15.11111111

Simplifying
x = -15.11111111

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