8(7+2x)-3(8-5x)=7+5x+19

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Solution for 8(7+2x)-3(8-5x)=7+5x+19 equation:


Simplifying
8(7 + 2x) + -3(8 + -5x) = 7 + 5x + 19
(7 * 8 + 2x * 8) + -3(8 + -5x) = 7 + 5x + 19
(56 + 16x) + -3(8 + -5x) = 7 + 5x + 19
56 + 16x + (8 * -3 + -5x * -3) = 7 + 5x + 19
56 + 16x + (-24 + 15x) = 7 + 5x + 19

Reorder the terms:
56 + -24 + 16x + 15x = 7 + 5x + 19

Combine like terms: 56 + -24 = 32
32 + 16x + 15x = 7 + 5x + 19

Combine like terms: 16x + 15x = 31x
32 + 31x = 7 + 5x + 19

Reorder the terms:
32 + 31x = 7 + 19 + 5x

Combine like terms: 7 + 19 = 26
32 + 31x = 26 + 5x

Solving
32 + 31x = 26 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
32 + 31x + -5x = 26 + 5x + -5x

Combine like terms: 31x + -5x = 26x
32 + 26x = 26 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + 26x = 26 + 0
32 + 26x = 26

Add '-32' to each side of the equation.
32 + -32 + 26x = 26 + -32

Combine like terms: 32 + -32 = 0
0 + 26x = 26 + -32
26x = 26 + -32

Combine like terms: 26 + -32 = -6
26x = -6

Divide each side by '26'.
x = -0.2307692308

Simplifying
x = -0.2307692308

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