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

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


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

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

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

Combine like terms: 4 + 2 = 6
6 + 7x + 8x = 3(x + -3)

Combine like terms: 7x + 8x = 15x
6 + 15x = 3(x + -3)

Reorder the terms:
6 + 15x = 3(-3 + x)
6 + 15x = (-3 * 3 + x * 3)
6 + 15x = (-9 + 3x)

Solving
6 + 15x = -9 + 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.
6 + 15x + -3x = -9 + 3x + -3x

Combine like terms: 15x + -3x = 12x
6 + 12x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 12x = -9 + 0
6 + 12x = -9

Add '-6' to each side of the equation.
6 + -6 + 12x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 12x = -9 + -6
12x = -9 + -6

Combine like terms: -9 + -6 = -15
12x = -15

Divide each side by '12'.
x = -1.25

Simplifying
x = -1.25

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