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

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


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

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

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

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

Reorder the terms:
1 + 8x = 3(2 + x)
1 + 8x = (2 * 3 + x * 3)
1 + 8x = (6 + 3x)

Solving
1 + 8x = 6 + 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.
1 + 8x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + 5x = 6 + 0
1 + 5x = 6

Add '-1' to each side of the equation.
1 + -1 + 5x = 6 + -1

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

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

Divide each side by '5'.
x = 1

Simplifying
x = 1

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