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

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


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

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

Reorder the terms:
-12 + 2 + 4x = 3x + -19

Combine like terms: -12 + 2 = -10
-10 + 4x = 3x + -19

Reorder the terms:
-10 + 4x = -19 + 3x

Solving
-10 + 4x = -19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -19 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -19 + 0
-10 + 1x = -19

Add '10' to each side of the equation.
-10 + 10 + 1x = -19 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -19 + 10
1x = -19 + 10

Combine like terms: -19 + 10 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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