3-5(x-4)=-3+2x+15

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Solution for 3-5(x-4)=-3+2x+15 equation:


Simplifying
3 + -5(x + -4) = -3 + 2x + 15

Reorder the terms:
3 + -5(-4 + x) = -3 + 2x + 15
3 + (-4 * -5 + x * -5) = -3 + 2x + 15
3 + (20 + -5x) = -3 + 2x + 15

Combine like terms: 3 + 20 = 23
23 + -5x = -3 + 2x + 15

Reorder the terms:
23 + -5x = -3 + 15 + 2x

Combine like terms: -3 + 15 = 12
23 + -5x = 12 + 2x

Solving
23 + -5x = 12 + 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.
23 + -5x + -2x = 12 + 2x + -2x

Combine like terms: -5x + -2x = -7x
23 + -7x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
23 + -7x = 12 + 0
23 + -7x = 12

Add '-23' to each side of the equation.
23 + -23 + -7x = 12 + -23

Combine like terms: 23 + -23 = 0
0 + -7x = 12 + -23
-7x = 12 + -23

Combine like terms: 12 + -23 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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