3(4x-7)+4x+8=-2x+19

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Solution for 3(4x-7)+4x+8=-2x+19 equation: 


Simplifying
3(4x + -7) + 4x + 8 = -2x + 19

Reorder the terms:
3(-7 + 4x) + 4x + 8 = -2x + 19
(-7 * 3 + 4x * 3) + 4x + 8 = -2x + 19
(-21 + 12x) + 4x + 8 = -2x + 19

Reorder the terms:
-21 + 8 + 12x + 4x = -2x + 19

Combine like terms: -21 + 8 = -13
-13 + 12x + 4x = -2x + 19

Combine like terms: 12x + 4x = 16x
-13 + 16x = -2x + 19

Reorder the terms:
-13 + 16x = 19 + -2x

Solving
-13 + 16x = 19 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-13 + 16x + 2x = 19 + -2x + 2x

Combine like terms: 16x + 2x = 18x
-13 + 18x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
-13 + 18x = 19 + 0
-13 + 18x = 19

Add '13' to each side of the equation.
-13 + 13 + 18x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 18x = 19 + 13
18x = 19 + 13

Combine like terms: 19 + 13 = 32
18x = 32

Divide each side by '18'.
x = 1.777777778

Simplifying
x = 1.777777778

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