7(2x+6)-4(2x-3)=13x+19

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Solution for 7(2x+6)-4(2x-3)=13x+19 equation: 


Simplifying
7(2x + 6) + -4(2x + -3) = 13x + 19

Reorder the terms:
7(6 + 2x) + -4(2x + -3) = 13x + 19
(6 * 7 + 2x * 7) + -4(2x + -3) = 13x + 19
(42 + 14x) + -4(2x + -3) = 13x + 19

Reorder the terms:
42 + 14x + -4(-3 + 2x) = 13x + 19
42 + 14x + (-3 * -4 + 2x * -4) = 13x + 19
42 + 14x + (12 + -8x) = 13x + 19

Reorder the terms:
42 + 12 + 14x + -8x = 13x + 19

Combine like terms: 42 + 12 = 54
54 + 14x + -8x = 13x + 19

Combine like terms: 14x + -8x = 6x
54 + 6x = 13x + 19

Reorder the terms:
54 + 6x = 19 + 13x

Solving
54 + 6x = 19 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
54 + 6x + -13x = 19 + 13x + -13x

Combine like terms: 6x + -13x = -7x
54 + -7x = 19 + 13x + -13x

Combine like terms: 13x + -13x = 0
54 + -7x = 19 + 0
54 + -7x = 19

Add '-54' to each side of the equation.
54 + -54 + -7x = 19 + -54

Combine like terms: 54 + -54 = 0
0 + -7x = 19 + -54
-7x = 19 + -54

Combine like terms: 19 + -54 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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