5(2x-1)-3(x-4)=4(x+4)

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Solution for 5(2x-1)-3(x-4)=4(x+4) equation:


Simplifying
5(2x + -1) + -3(x + -4) = 4(x + 4)

Reorder the terms:
5(-1 + 2x) + -3(x + -4) = 4(x + 4)
(-1 * 5 + 2x * 5) + -3(x + -4) = 4(x + 4)
(-5 + 10x) + -3(x + -4) = 4(x + 4)

Reorder the terms:
-5 + 10x + -3(-4 + x) = 4(x + 4)
-5 + 10x + (-4 * -3 + x * -3) = 4(x + 4)
-5 + 10x + (12 + -3x) = 4(x + 4)

Reorder the terms:
-5 + 12 + 10x + -3x = 4(x + 4)

Combine like terms: -5 + 12 = 7
7 + 10x + -3x = 4(x + 4)

Combine like terms: 10x + -3x = 7x
7 + 7x = 4(x + 4)

Reorder the terms:
7 + 7x = 4(4 + x)
7 + 7x = (4 * 4 + x * 4)
7 + 7x = (16 + 4x)

Solving
7 + 7x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
7 + 7x + -4x = 16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
7 + 3x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
7 + 3x = 16 + 0
7 + 3x = 16

Add '-7' to each side of the equation.
7 + -7 + 3x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 16 + -7
3x = 16 + -7

Combine like terms: 16 + -7 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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