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

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


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

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

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

Combine like terms: 8 + -10 = -2
-2 + 4x = 2(x + 3)

Reorder the terms:
-2 + 4x = 2(3 + x)
-2 + 4x = (3 * 2 + x * 2)
-2 + 4x = (6 + 2x)

Solving
-2 + 4x = 6 + 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.
-2 + 4x + -2x = 6 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-2 + 2x = 6 + 2x + -2x

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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