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

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


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

Reorder the terms:
x + -3(-7 + 2x) + 8 = 19
x + (-7 * -3 + 2x * -3) + 8 = 19
x + (21 + -6x) + 8 = 19

Reorder the terms:
21 + 8 + x + -6x = 19

Combine like terms: 21 + 8 = 29
29 + x + -6x = 19

Combine like terms: x + -6x = -5x
29 + -5x = 19

Solving
29 + -5x = 19

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -5x = 19 + -29

Combine like terms: 29 + -29 = 0
0 + -5x = 19 + -29
-5x = 19 + -29

Combine like terms: 19 + -29 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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