6+10x-19=2(3x+4)-1

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Solution for 6+10x-19=2(3x+4)-1 equation:


Simplifying
6 + 10x + -19 = 2(3x + 4) + -1

Reorder the terms:
6 + -19 + 10x = 2(3x + 4) + -1

Combine like terms: 6 + -19 = -13
-13 + 10x = 2(3x + 4) + -1

Reorder the terms:
-13 + 10x = 2(4 + 3x) + -1
-13 + 10x = (4 * 2 + 3x * 2) + -1
-13 + 10x = (8 + 6x) + -1

Reorder the terms:
-13 + 10x = 8 + -1 + 6x

Combine like terms: 8 + -1 = 7
-13 + 10x = 7 + 6x

Solving
-13 + 10x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-13 + 10x + -6x = 7 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-13 + 4x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + 4x = 7 + 0
-13 + 4x = 7

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

Combine like terms: -13 + 13 = 0
0 + 4x = 7 + 13
4x = 7 + 13

Combine like terms: 7 + 13 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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