5(x-4)+10=3+2(x-4)

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Solution for 5(x-4)+10=3+2(x-4) equation:


Simplifying
5(x + -4) + 10 = 3 + 2(x + -4)

Reorder the terms:
5(-4 + x) + 10 = 3 + 2(x + -4)
(-4 * 5 + x * 5) + 10 = 3 + 2(x + -4)
(-20 + 5x) + 10 = 3 + 2(x + -4)

Reorder the terms:
-20 + 10 + 5x = 3 + 2(x + -4)

Combine like terms: -20 + 10 = -10
-10 + 5x = 3 + 2(x + -4)

Reorder the terms:
-10 + 5x = 3 + 2(-4 + x)
-10 + 5x = 3 + (-4 * 2 + x * 2)
-10 + 5x = 3 + (-8 + 2x)

Combine like terms: 3 + -8 = -5
-10 + 5x = -5 + 2x

Solving
-10 + 5x = -5 + 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.
-10 + 5x + -2x = -5 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = -5 + 0
-10 + 3x = -5

Add '10' to each side of the equation.
-10 + 10 + 3x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -5 + 10
3x = -5 + 10

Combine like terms: -5 + 10 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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