5(2x-1)-2(3x+16)=6x-17

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Solution for 5(2x-1)-2(3x+16)=6x-17 equation:


Simplifying
5(2x + -1) + -2(3x + 16) = 6x + -17

Reorder the terms:
5(-1 + 2x) + -2(3x + 16) = 6x + -17
(-1 * 5 + 2x * 5) + -2(3x + 16) = 6x + -17
(-5 + 10x) + -2(3x + 16) = 6x + -17

Reorder the terms:
-5 + 10x + -2(16 + 3x) = 6x + -17
-5 + 10x + (16 * -2 + 3x * -2) = 6x + -17
-5 + 10x + (-32 + -6x) = 6x + -17

Reorder the terms:
-5 + -32 + 10x + -6x = 6x + -17

Combine like terms: -5 + -32 = -37
-37 + 10x + -6x = 6x + -17

Combine like terms: 10x + -6x = 4x
-37 + 4x = 6x + -17

Reorder the terms:
-37 + 4x = -17 + 6x

Solving
-37 + 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.
-37 + 4x + -6x = -17 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-37 + -2x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-37 + -2x = -17 + 0
-37 + -2x = -17

Add '37' to each side of the equation.
-37 + 37 + -2x = -17 + 37

Combine like terms: -37 + 37 = 0
0 + -2x = -17 + 37
-2x = -17 + 37

Combine like terms: -17 + 37 = 20
-2x = 20

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

Simplifying
x = -10

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