4(2x+1)=3(x-1)+7

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Solution for 4(2x+1)=3(x-1)+7 equation:


Simplifying
4(2x + 1) = 3(x + -1) + 7

Reorder the terms:
4(1 + 2x) = 3(x + -1) + 7
(1 * 4 + 2x * 4) = 3(x + -1) + 7
(4 + 8x) = 3(x + -1) + 7

Reorder the terms:
4 + 8x = 3(-1 + x) + 7
4 + 8x = (-1 * 3 + x * 3) + 7
4 + 8x = (-3 + 3x) + 7

Reorder the terms:
4 + 8x = -3 + 7 + 3x

Combine like terms: -3 + 7 = 4
4 + 8x = 4 + 3x

Add '-4' to each side of the equation.
4 + -4 + 8x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
0 + 8x = 4 + -4 + 3x
8x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
8x = 0 + 3x
8x = 3x

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

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

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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