x-19=4(5x+3)+7

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Solution for x-19=4(5x+3)+7 equation:


Simplifying
x + -19 = 4(5x + 3) + 7

Reorder the terms:
-19 + x = 4(5x + 3) + 7

Reorder the terms:
-19 + x = 4(3 + 5x) + 7
-19 + x = (3 * 4 + 5x * 4) + 7
-19 + x = (12 + 20x) + 7

Reorder the terms:
-19 + x = 12 + 7 + 20x

Combine like terms: 12 + 7 = 19
-19 + x = 19 + 20x

Solving
-19 + x = 19 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-19 + x + -20x = 19 + 20x + -20x

Combine like terms: x + -20x = -19x
-19 + -19x = 19 + 20x + -20x

Combine like terms: 20x + -20x = 0
-19 + -19x = 19 + 0
-19 + -19x = 19

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

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

Combine like terms: 19 + 19 = 38
-19x = 38

Divide each side by '-19'.
x = -2

Simplifying
x = -2

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