7(2x-3)+16=(x+1)-19

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Solution for 7(2x-3)+16=(x+1)-19 equation:


Simplifying
7(2x + -3) + 16 = (x + 1) + -19

Reorder the terms:
7(-3 + 2x) + 16 = (x + 1) + -19
(-3 * 7 + 2x * 7) + 16 = (x + 1) + -19
(-21 + 14x) + 16 = (x + 1) + -19

Reorder the terms:
-21 + 16 + 14x = (x + 1) + -19

Combine like terms: -21 + 16 = -5
-5 + 14x = (x + 1) + -19

Reorder the terms:
-5 + 14x = (1 + x) + -19

Remove parenthesis around (1 + x)
-5 + 14x = 1 + x + -19

Reorder the terms:
-5 + 14x = 1 + -19 + x

Combine like terms: 1 + -19 = -18
-5 + 14x = -18 + x

Solving
-5 + 14x = -18 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 14x + -1x = -18 + x + -1x

Combine like terms: 14x + -1x = 13x
-5 + 13x = -18 + x + -1x

Combine like terms: x + -1x = 0
-5 + 13x = -18 + 0
-5 + 13x = -18

Add '5' to each side of the equation.
-5 + 5 + 13x = -18 + 5

Combine like terms: -5 + 5 = 0
0 + 13x = -18 + 5
13x = -18 + 5

Combine like terms: -18 + 5 = -13
13x = -13

Divide each side by '13'.
x = -1

Simplifying
x = -1

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