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

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


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

Combine like terms: 2 + 3 = 5
4(5) = 2(5x + -2) + 6

Multiply 4 * 5
20 = 2(5x + -2) + 6

Reorder the terms:
20 = 2(-2 + 5x) + 6
20 = (-2 * 2 + 5x * 2) + 6
20 = (-4 + 10x) + 6

Reorder the terms:
20 = -4 + 6 + 10x

Combine like terms: -4 + 6 = 2
20 = 2 + 10x

Solving
20 = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
20 + -10x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
20 + -10x = 2 + 0
20 + -10x = 2

Add '-20' to each side of the equation.
20 + -20 + -10x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = 2 + -20
-10x = 2 + -20

Combine like terms: 2 + -20 = -18
-10x = -18

Divide each side by '-10'.
x = 1.8

Simplifying
x = 1.8

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