15-4(x-5)=3x+19

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Solution for 15-4(x-5)=3x+19 equation:


Simplifying
15 + -4(x + -5) = 3x + 19

Reorder the terms:
15 + -4(-5 + x) = 3x + 19
15 + (-5 * -4 + x * -4) = 3x + 19
15 + (20 + -4x) = 3x + 19

Combine like terms: 15 + 20 = 35
35 + -4x = 3x + 19

Reorder the terms:
35 + -4x = 19 + 3x

Solving
35 + -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.
35 + -4x + -3x = 19 + 3x + -3x

Combine like terms: -4x + -3x = -7x
35 + -7x = 19 + 3x + -3x

Combine like terms: 3x + -3x = 0
35 + -7x = 19 + 0
35 + -7x = 19

Add '-35' to each side of the equation.
35 + -35 + -7x = 19 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = 19 + -35
-7x = 19 + -35

Combine like terms: 19 + -35 = -16
-7x = -16

Divide each side by '-7'.
x = 2.285714286

Simplifying
x = 2.285714286

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