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

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


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

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

Reorder the terms:
-15 + 20x + -3(-16 + 3x) = 5(2x + 3) + -4
-15 + 20x + (-16 * -3 + 3x * -3) = 5(2x + 3) + -4
-15 + 20x + (48 + -9x) = 5(2x + 3) + -4

Reorder the terms:
-15 + 48 + 20x + -9x = 5(2x + 3) + -4

Combine like terms: -15 + 48 = 33
33 + 20x + -9x = 5(2x + 3) + -4

Combine like terms: 20x + -9x = 11x
33 + 11x = 5(2x + 3) + -4

Reorder the terms:
33 + 11x = 5(3 + 2x) + -4
33 + 11x = (3 * 5 + 2x * 5) + -4
33 + 11x = (15 + 10x) + -4

Reorder the terms:
33 + 11x = 15 + -4 + 10x

Combine like terms: 15 + -4 = 11
33 + 11x = 11 + 10x

Solving
33 + 11x = 11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
33 + 11x + -10x = 11 + 10x + -10x

Combine like terms: 11x + -10x = 1x
33 + 1x = 11 + 10x + -10x

Combine like terms: 10x + -10x = 0
33 + 1x = 11 + 0
33 + 1x = 11

Add '-33' to each side of the equation.
33 + -33 + 1x = 11 + -33

Combine like terms: 33 + -33 = 0
0 + 1x = 11 + -33
1x = 11 + -33

Combine like terms: 11 + -33 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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