5(2x-5)-4(3x-14)=6x-17

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Solution for 5(2x-5)-4(3x-14)=6x-17 equation:


Simplifying
5(2x + -5) + -4(3x + -14) = 6x + -17

Reorder the terms:
5(-5 + 2x) + -4(3x + -14) = 6x + -17
(-5 * 5 + 2x * 5) + -4(3x + -14) = 6x + -17
(-25 + 10x) + -4(3x + -14) = 6x + -17

Reorder the terms:
-25 + 10x + -4(-14 + 3x) = 6x + -17
-25 + 10x + (-14 * -4 + 3x * -4) = 6x + -17
-25 + 10x + (56 + -12x) = 6x + -17

Reorder the terms:
-25 + 56 + 10x + -12x = 6x + -17

Combine like terms: -25 + 56 = 31
31 + 10x + -12x = 6x + -17

Combine like terms: 10x + -12x = -2x
31 + -2x = 6x + -17

Reorder the terms:
31 + -2x = -17 + 6x

Solving
31 + -2x = -17 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
31 + -2x + -6x = -17 + 6x + -6x

Combine like terms: -2x + -6x = -8x
31 + -8x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -8x = -17 + 0
31 + -8x = -17

Add '-31' to each side of the equation.
31 + -31 + -8x = -17 + -31

Combine like terms: 31 + -31 = 0
0 + -8x = -17 + -31
-8x = -17 + -31

Combine like terms: -17 + -31 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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