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

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


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

Reorder the terms:
4(-5 + 2x) + -1(x + 4) = 3x + 4
(-5 * 4 + 2x * 4) + -1(x + 4) = 3x + 4
(-20 + 8x) + -1(x + 4) = 3x + 4

Reorder the terms:
-20 + 8x + -1(4 + x) = 3x + 4
-20 + 8x + (4 * -1 + x * -1) = 3x + 4
-20 + 8x + (-4 + -1x) = 3x + 4

Reorder the terms:
-20 + -4 + 8x + -1x = 3x + 4

Combine like terms: -20 + -4 = -24
-24 + 8x + -1x = 3x + 4

Combine like terms: 8x + -1x = 7x
-24 + 7x = 3x + 4

Reorder the terms:
-24 + 7x = 4 + 3x

Solving
-24 + 7x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + 7x + -3x = 4 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-24 + 4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 4x = 4 + 0
-24 + 4x = 4

Add '24' to each side of the equation.
-24 + 24 + 4x = 4 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = 4 + 24
4x = 4 + 24

Combine like terms: 4 + 24 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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