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

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


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

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

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

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

Combine like terms: 7x + -4x = 3x
6 + 3x = 4(x + 1) + -1(x + -2)

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

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

Reorder the terms:
6 + 3x = 4 + 2 + 4x + -1x

Combine like terms: 4 + 2 = 6
6 + 3x = 6 + 4x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = 6 + 3x

Add '-6' to each side of the equation.
6 + -6 + 3x = 6 + -6 + 3x

Combine like terms: 6 + -6 = 0
0 + 3x = 6 + -6 + 3x
3x = 6 + -6 + 3x

Combine like terms: 6 + -6 = 0
3x = 0 + 3x
3x = 3x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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