5(4x-3)-2(2x-16)=5(3x+4)-15

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Solution for 5(4x-3)-2(2x-16)=5(3x+4)-15 equation:


Simplifying
5(4x + -3) + -2(2x + -16) = 5(3x + 4) + -15

Reorder the terms:
5(-3 + 4x) + -2(2x + -16) = 5(3x + 4) + -15
(-3 * 5 + 4x * 5) + -2(2x + -16) = 5(3x + 4) + -15
(-15 + 20x) + -2(2x + -16) = 5(3x + 4) + -15

Reorder the terms:
-15 + 20x + -2(-16 + 2x) = 5(3x + 4) + -15
-15 + 20x + (-16 * -2 + 2x * -2) = 5(3x + 4) + -15
-15 + 20x + (32 + -4x) = 5(3x + 4) + -15

Reorder the terms:
-15 + 32 + 20x + -4x = 5(3x + 4) + -15

Combine like terms: -15 + 32 = 17
17 + 20x + -4x = 5(3x + 4) + -15

Combine like terms: 20x + -4x = 16x
17 + 16x = 5(3x + 4) + -15

Reorder the terms:
17 + 16x = 5(4 + 3x) + -15
17 + 16x = (4 * 5 + 3x * 5) + -15
17 + 16x = (20 + 15x) + -15

Reorder the terms:
17 + 16x = 20 + -15 + 15x

Combine like terms: 20 + -15 = 5
17 + 16x = 5 + 15x

Solving
17 + 16x = 5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
17 + 16x + -15x = 5 + 15x + -15x

Combine like terms: 16x + -15x = 1x
17 + 1x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
17 + 1x = 5 + 0
17 + 1x = 5

Add '-17' to each side of the equation.
17 + -17 + 1x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 5 + -17
1x = 5 + -17

Combine like terms: 5 + -17 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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