4(2x-3)+10=6(x+5)

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Solution for 4(2x-3)+10=6(x+5) equation:


Simplifying
4(2x + -3) + 10 = 6(x + 5)

Reorder the terms:
4(-3 + 2x) + 10 = 6(x + 5)
(-3 * 4 + 2x * 4) + 10 = 6(x + 5)
(-12 + 8x) + 10 = 6(x + 5)

Reorder the terms:
-12 + 10 + 8x = 6(x + 5)

Combine like terms: -12 + 10 = -2
-2 + 8x = 6(x + 5)

Reorder the terms:
-2 + 8x = 6(5 + x)
-2 + 8x = (5 * 6 + x * 6)
-2 + 8x = (30 + 6x)

Solving
-2 + 8x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 8x + -6x = 30 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-2 + 2x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 2x = 30 + 0
-2 + 2x = 30

Add '2' to each side of the equation.
-2 + 2 + 2x = 30 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 30 + 2
2x = 30 + 2

Combine like terms: 30 + 2 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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