3(x-4)+10=4(2x-1)-(5x-2)

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Solution for 3(x-4)+10=4(2x-1)-(5x-2) equation:


Simplifying
3(x + -4) + 10 = 4(2x + -1) + -1(5x + -2)

Reorder the terms:
3(-4 + x) + 10 = 4(2x + -1) + -1(5x + -2)
(-4 * 3 + x * 3) + 10 = 4(2x + -1) + -1(5x + -2)
(-12 + 3x) + 10 = 4(2x + -1) + -1(5x + -2)

Reorder the terms:
-12 + 10 + 3x = 4(2x + -1) + -1(5x + -2)

Combine like terms: -12 + 10 = -2
-2 + 3x = 4(2x + -1) + -1(5x + -2)

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

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

Reorder the terms:
-2 + 3x = -4 + 2 + 8x + -5x

Combine like terms: -4 + 2 = -2
-2 + 3x = -2 + 8x + -5x

Combine like terms: 8x + -5x = 3x
-2 + 3x = -2 + 3x

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

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

Combine like terms: -2 + 2 = 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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