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

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


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

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

Reorder the terms:
-4 + 8x + -2(5 + 3x) = x + 4
-4 + 8x + (5 * -2 + 3x * -2) = x + 4
-4 + 8x + (-10 + -6x) = x + 4

Reorder the terms:
-4 + -10 + 8x + -6x = x + 4

Combine like terms: -4 + -10 = -14
-14 + 8x + -6x = x + 4

Combine like terms: 8x + -6x = 2x
-14 + 2x = x + 4

Reorder the terms:
-14 + 2x = 4 + x

Solving
-14 + 2x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 2x + -1x = 4 + x + -1x

Combine like terms: 2x + -1x = 1x
-14 + 1x = 4 + x + -1x

Combine like terms: x + -1x = 0
-14 + 1x = 4 + 0
-14 + 1x = 4

Add '14' to each side of the equation.
-14 + 14 + 1x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 4 + 14
1x = 4 + 14

Combine like terms: 4 + 14 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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