2(-8x+5)+5x=7(x+4)

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Solution for 2(-8x+5)+5x=7(x+4) equation:


Simplifying
2(-8x + 5) + 5x = 7(x + 4)

Reorder the terms:
2(5 + -8x) + 5x = 7(x + 4)
(5 * 2 + -8x * 2) + 5x = 7(x + 4)
(10 + -16x) + 5x = 7(x + 4)

Combine like terms: -16x + 5x = -11x
10 + -11x = 7(x + 4)

Reorder the terms:
10 + -11x = 7(4 + x)
10 + -11x = (4 * 7 + x * 7)
10 + -11x = (28 + 7x)

Solving
10 + -11x = 28 + 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.
10 + -11x + -7x = 28 + 7x + -7x

Combine like terms: -11x + -7x = -18x
10 + -18x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -18x = 28 + 0
10 + -18x = 28

Add '-10' to each side of the equation.
10 + -10 + -18x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + -18x = 28 + -10
-18x = 28 + -10

Combine like terms: 28 + -10 = 18
-18x = 18

Divide each side by '-18'.
x = -1

Simplifying
x = -1

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