7(x+1)+4=-8(x-3)-7

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Solution for 7(x+1)+4=-8(x-3)-7 equation: 


Simplifying
7(x + 1) + 4 = -8(x + -3) + -7

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

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

Combine like terms: 7 + 4 = 11
11 + 7x = -8(x + -3) + -7

Reorder the terms:
11 + 7x = -8(-3 + x) + -7
11 + 7x = (-3 * -8 + x * -8) + -7
11 + 7x = (24 + -8x) + -7

Reorder the terms:
11 + 7x = 24 + -7 + -8x

Combine like terms: 24 + -7 = 17
11 + 7x = 17 + -8x

Solving
11 + 7x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
11 + 7x + 8x = 17 + -8x + 8x

Combine like terms: 7x + 8x = 15x
11 + 15x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + 15x = 17 + 0
11 + 15x = 17

Add '-11' to each side of the equation.
11 + -11 + 15x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + 15x = 17 + -11
15x = 17 + -11

Combine like terms: 17 + -11 = 6
15x = 6

Divide each side by '15'.
x = 0.4

Simplifying
x = 0.4

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