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

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


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

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

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

Combine like terms: -4 + -3 = -7
-7 + 8x = 2(x + 1)

Reorder the terms:
-7 + 8x = 2(1 + x)
-7 + 8x = (1 * 2 + x * 2)
-7 + 8x = (2 + 2x)

Solving
-7 + 8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 8x + -2x = 2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-7 + 6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 6x = 2 + 0
-7 + 6x = 2

Add '7' to each side of the equation.
-7 + 7 + 6x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 2 + 7
6x = 2 + 7

Combine like terms: 2 + 7 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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