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

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


Simplifying
2(5 + -8x) = -7(x + 7) + -4
(5 * 2 + -8x * 2) = -7(x + 7) + -4
(10 + -16x) = -7(x + 7) + -4

Reorder the terms:
10 + -16x = -7(7 + x) + -4
10 + -16x = (7 * -7 + x * -7) + -4
10 + -16x = (-49 + -7x) + -4

Reorder the terms:
10 + -16x = -49 + -4 + -7x

Combine like terms: -49 + -4 = -53
10 + -16x = -53 + -7x

Solving
10 + -16x = -53 + -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 + -16x + 7x = -53 + -7x + 7x

Combine like terms: -16x + 7x = -9x
10 + -9x = -53 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + -9x = -53 + 0
10 + -9x = -53

Add '-10' to each side of the equation.
10 + -10 + -9x = -53 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -53 + -10
-9x = -53 + -10

Combine like terms: -53 + -10 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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