4(x-1)-2(11-2x)=3x+4

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Solution for 4(x-1)-2(11-2x)=3x+4 equation:


Simplifying
4(x + -1) + -2(11 + -2x) = 3x + 4

Reorder the terms:
4(-1 + x) + -2(11 + -2x) = 3x + 4
(-1 * 4 + x * 4) + -2(11 + -2x) = 3x + 4
(-4 + 4x) + -2(11 + -2x) = 3x + 4
-4 + 4x + (11 * -2 + -2x * -2) = 3x + 4
-4 + 4x + (-22 + 4x) = 3x + 4

Reorder the terms:
-4 + -22 + 4x + 4x = 3x + 4

Combine like terms: -4 + -22 = -26
-26 + 4x + 4x = 3x + 4

Combine like terms: 4x + 4x = 8x
-26 + 8x = 3x + 4

Reorder the terms:
-26 + 8x = 4 + 3x

Solving
-26 + 8x = 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.
-26 + 8x + -3x = 4 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-26 + 5x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + 5x = 4 + 0
-26 + 5x = 4

Add '26' to each side of the equation.
-26 + 26 + 5x = 4 + 26

Combine like terms: -26 + 26 = 0
0 + 5x = 4 + 26
5x = 4 + 26

Combine like terms: 4 + 26 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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