8x+1-3(-5x-1)=7(x-2)

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Solution for 8x+1-3(-5x-1)=7(x-2) equation:


Simplifying
8x + 1 + -3(-5x + -1) = 7(x + -2)

Reorder the terms:
8x + 1 + -3(-1 + -5x) = 7(x + -2)
8x + 1 + (-1 * -3 + -5x * -3) = 7(x + -2)
8x + 1 + (3 + 15x) = 7(x + -2)

Reorder the terms:
1 + 3 + 8x + 15x = 7(x + -2)

Combine like terms: 1 + 3 = 4
4 + 8x + 15x = 7(x + -2)

Combine like terms: 8x + 15x = 23x
4 + 23x = 7(x + -2)

Reorder the terms:
4 + 23x = 7(-2 + x)
4 + 23x = (-2 * 7 + x * 7)
4 + 23x = (-14 + 7x)

Solving
4 + 23x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
4 + 23x + -7x = -14 + 7x + -7x

Combine like terms: 23x + -7x = 16x
4 + 16x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
4 + 16x = -14 + 0
4 + 16x = -14

Add '-4' to each side of the equation.
4 + -4 + 16x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = -14 + -4
16x = -14 + -4

Combine like terms: -14 + -4 = -18
16x = -18

Divide each side by '16'.
x = -1.125

Simplifying
x = -1.125

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