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

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


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

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

Reorder the terms:
-4 + 8x + -2(-5 + x) = 5(x + 1) + 3
-4 + 8x + (-5 * -2 + x * -2) = 5(x + 1) + 3
-4 + 8x + (10 + -2x) = 5(x + 1) + 3

Reorder the terms:
-4 + 10 + 8x + -2x = 5(x + 1) + 3

Combine like terms: -4 + 10 = 6
6 + 8x + -2x = 5(x + 1) + 3

Combine like terms: 8x + -2x = 6x
6 + 6x = 5(x + 1) + 3

Reorder the terms:
6 + 6x = 5(1 + x) + 3
6 + 6x = (1 * 5 + x * 5) + 3
6 + 6x = (5 + 5x) + 3

Reorder the terms:
6 + 6x = 5 + 3 + 5x

Combine like terms: 5 + 3 = 8
6 + 6x = 8 + 5x

Solving
6 + 6x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
6 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + 1x = 8 + 0
6 + 1x = 8

Add '-6' to each side of the equation.
6 + -6 + 1x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 8 + -6
1x = 8 + -6

Combine like terms: 8 + -6 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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