5-2(x+3)=7-4(x+1)

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Solution for 5-2(x+3)=7-4(x+1) equation:


Simplifying
5 + -2(x + 3) = 7 + -4(x + 1)

Reorder the terms:
5 + -2(3 + x) = 7 + -4(x + 1)
5 + (3 * -2 + x * -2) = 7 + -4(x + 1)
5 + (-6 + -2x) = 7 + -4(x + 1)

Combine like terms: 5 + -6 = -1
-1 + -2x = 7 + -4(x + 1)

Reorder the terms:
-1 + -2x = 7 + -4(1 + x)
-1 + -2x = 7 + (1 * -4 + x * -4)
-1 + -2x = 7 + (-4 + -4x)

Combine like terms: 7 + -4 = 3
-1 + -2x = 3 + -4x

Solving
-1 + -2x = 3 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + -2x + 4x = 3 + -4x + 4x

Combine like terms: -2x + 4x = 2x
-1 + 2x = 3 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 2x = 3 + 0
-1 + 2x = 3

Add '1' to each side of the equation.
-1 + 1 + 2x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 3 + 1
2x = 3 + 1

Combine like terms: 3 + 1 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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