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

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


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

Reorder the terms:
5(2 + x) + -2(x + 3) = 4(x + 1)
(2 * 5 + x * 5) + -2(x + 3) = 4(x + 1)
(10 + 5x) + -2(x + 3) = 4(x + 1)

Reorder the terms:
10 + 5x + -2(3 + x) = 4(x + 1)
10 + 5x + (3 * -2 + x * -2) = 4(x + 1)
10 + 5x + (-6 + -2x) = 4(x + 1)

Reorder the terms:
10 + -6 + 5x + -2x = 4(x + 1)

Combine like terms: 10 + -6 = 4
4 + 5x + -2x = 4(x + 1)

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

Reorder the terms:
4 + 3x = 4(1 + x)
4 + 3x = (1 * 4 + x * 4)
4 + 3x = (4 + 4x)

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

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

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

Solving
3x = 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.
3x + -4x = 4x + -4x

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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