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

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


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

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

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

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

Reorder the terms:
1 + 8x = -3(-4 + x)
1 + 8x = (-4 * -3 + x * -3)
1 + 8x = (12 + -3x)

Solving
1 + 8x = 12 + -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 = 12 + -3x + 3x

Combine like terms: 8x + 3x = 11x
1 + 11x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 11x = 12 + 0
1 + 11x = 12

Add '-1' to each side of the equation.
1 + -1 + 11x = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 12 + -1
11x = 12 + -1

Combine like terms: 12 + -1 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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