8(19x+20)-10x=-11(10-12x)

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Solution for 8(19x+20)-10x=-11(10-12x) equation:


Simplifying
8(19x + 20) + -10x = -11(10 + -12x)

Reorder the terms:
8(20 + 19x) + -10x = -11(10 + -12x)
(20 * 8 + 19x * 8) + -10x = -11(10 + -12x)
(160 + 152x) + -10x = -11(10 + -12x)

Combine like terms: 152x + -10x = 142x
160 + 142x = -11(10 + -12x)
160 + 142x = (10 * -11 + -12x * -11)
160 + 142x = (-110 + 132x)

Solving
160 + 142x = -110 + 132x

Solving for variable 'x'.

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

Add '-132x' to each side of the equation.
160 + 142x + -132x = -110 + 132x + -132x

Combine like terms: 142x + -132x = 10x
160 + 10x = -110 + 132x + -132x

Combine like terms: 132x + -132x = 0
160 + 10x = -110 + 0
160 + 10x = -110

Add '-160' to each side of the equation.
160 + -160 + 10x = -110 + -160

Combine like terms: 160 + -160 = 0
0 + 10x = -110 + -160
10x = -110 + -160

Combine like terms: -110 + -160 = -270
10x = -270

Divide each side by '10'.
x = -27

Simplifying
x = -27

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