4(2x+5)=3(4x-5)-17

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


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

Reorder the terms:
4(5 + 2x) = 3(4x + -5) + -17
(5 * 4 + 2x * 4) = 3(4x + -5) + -17
(20 + 8x) = 3(4x + -5) + -17

Reorder the terms:
20 + 8x = 3(-5 + 4x) + -17
20 + 8x = (-5 * 3 + 4x * 3) + -17
20 + 8x = (-15 + 12x) + -17

Reorder the terms:
20 + 8x = -15 + -17 + 12x

Combine like terms: -15 + -17 = -32
20 + 8x = -32 + 12x

Solving
20 + 8x = -32 + 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.
20 + 8x + -12x = -32 + 12x + -12x

Combine like terms: 8x + -12x = -4x
20 + -4x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -4x = -32 + 0
20 + -4x = -32

Add '-20' to each side of the equation.
20 + -20 + -4x = -32 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -32 + -20
-4x = -32 + -20

Combine like terms: -32 + -20 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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