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

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


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

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

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

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

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

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

Reorder the terms:
-7 + 2x = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
-7 + 2x = -7 + 2x

Add '7' to each side of the equation.
-7 + 7 + 2x = -7 + 7 + 2x

Combine like terms: -7 + 7 = 0
0 + 2x = -7 + 7 + 2x
2x = -7 + 7 + 2x

Combine like terms: -7 + 7 = 0
2x = 0 + 2x
2x = 2x

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

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

Combine like terms: 2x + -2x = 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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