2-4(x+2)=5-3(2x+1)

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Solution for 2-4(x+2)=5-3(2x+1) equation:


Simplifying
2 + -4(x + 2) = 5 + -3(2x + 1)

Reorder the terms:
2 + -4(2 + x) = 5 + -3(2x + 1)
2 + (2 * -4 + x * -4) = 5 + -3(2x + 1)
2 + (-8 + -4x) = 5 + -3(2x + 1)

Combine like terms: 2 + -8 = -6
-6 + -4x = 5 + -3(2x + 1)

Reorder the terms:
-6 + -4x = 5 + -3(1 + 2x)
-6 + -4x = 5 + (1 * -3 + 2x * -3)
-6 + -4x = 5 + (-3 + -6x)

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

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

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

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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