19x+(7-6x)=2(6+8x)-8

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Solution for 19x+(7-6x)=2(6+8x)-8 equation:


Simplifying
19x + (7 + -6x) = 2(6 + 8x) + -8

Remove parenthesis around (7 + -6x)
19x + 7 + -6x = 2(6 + 8x) + -8

Reorder the terms:
7 + 19x + -6x = 2(6 + 8x) + -8

Combine like terms: 19x + -6x = 13x
7 + 13x = 2(6 + 8x) + -8
7 + 13x = (6 * 2 + 8x * 2) + -8
7 + 13x = (12 + 16x) + -8

Reorder the terms:
7 + 13x = 12 + -8 + 16x

Combine like terms: 12 + -8 = 4
7 + 13x = 4 + 16x

Solving
7 + 13x = 4 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
7 + 13x + -16x = 4 + 16x + -16x

Combine like terms: 13x + -16x = -3x
7 + -3x = 4 + 16x + -16x

Combine like terms: 16x + -16x = 0
7 + -3x = 4 + 0
7 + -3x = 4

Add '-7' to each side of the equation.
7 + -7 + -3x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 4 + -7
-3x = 4 + -7

Combine like terms: 4 + -7 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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