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

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


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

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

Reorder the terms:
-25 + 10x + -2(-14 + 3x) = 6x + -17
-25 + 10x + (-14 * -2 + 3x * -2) = 6x + -17
-25 + 10x + (28 + -6x) = 6x + -17

Reorder the terms:
-25 + 28 + 10x + -6x = 6x + -17

Combine like terms: -25 + 28 = 3
3 + 10x + -6x = 6x + -17

Combine like terms: 10x + -6x = 4x
3 + 4x = 6x + -17

Reorder the terms:
3 + 4x = -17 + 6x

Solving
3 + 4x = -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.
3 + 4x + -6x = -17 + 6x + -6x

Combine like terms: 4x + -6x = -2x
3 + -2x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -2x = -17 + 0
3 + -2x = -17

Add '-3' to each side of the equation.
3 + -3 + -2x = -17 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -17 + -3
-2x = -17 + -3

Combine like terms: -17 + -3 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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