4x+5(-2x+17)=13

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Solution for 4x+5(-2x+17)=13 equation:


Simplifying
4x + 5(-2x + 17) = 13

Reorder the terms:
4x + 5(17 + -2x) = 13
4x + (17 * 5 + -2x * 5) = 13
4x + (85 + -10x) = 13

Reorder the terms:
85 + 4x + -10x = 13

Combine like terms: 4x + -10x = -6x
85 + -6x = 13

Solving
85 + -6x = 13

Solving for variable 'x'.

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

Add '-85' to each side of the equation.
85 + -85 + -6x = 13 + -85

Combine like terms: 85 + -85 = 0
0 + -6x = 13 + -85
-6x = 13 + -85

Combine like terms: 13 + -85 = -72
-6x = -72

Divide each side by '-6'.
x = 12

Simplifying
x = 12

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