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

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


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

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

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

Combine like terms: -20 + -4 = -24
-24 + 8x = 3(x + 1) + 2

Reorder the terms:
-24 + 8x = 3(1 + x) + 2
-24 + 8x = (1 * 3 + x * 3) + 2
-24 + 8x = (3 + 3x) + 2

Reorder the terms:
-24 + 8x = 3 + 2 + 3x

Combine like terms: 3 + 2 = 5
-24 + 8x = 5 + 3x

Solving
-24 + 8x = 5 + 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 + 8x + -3x = 5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-24 + 5x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 5x = 5 + 0
-24 + 5x = 5

Add '24' to each side of the equation.
-24 + 24 + 5x = 5 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 5 + 24
5x = 5 + 24

Combine like terms: 5 + 24 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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