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

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


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

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

Reorder the terms:
-12 + 4x + 3(2 + x) = 2(4x + 5) + -1(x + -4)
-12 + 4x + (2 * 3 + x * 3) = 2(4x + 5) + -1(x + -4)
-12 + 4x + (6 + 3x) = 2(4x + 5) + -1(x + -4)

Reorder the terms:
-12 + 6 + 4x + 3x = 2(4x + 5) + -1(x + -4)

Combine like terms: -12 + 6 = -6
-6 + 4x + 3x = 2(4x + 5) + -1(x + -4)

Combine like terms: 4x + 3x = 7x
-6 + 7x = 2(4x + 5) + -1(x + -4)

Reorder the terms:
-6 + 7x = 2(5 + 4x) + -1(x + -4)
-6 + 7x = (5 * 2 + 4x * 2) + -1(x + -4)
-6 + 7x = (10 + 8x) + -1(x + -4)

Reorder the terms:
-6 + 7x = 10 + 8x + -1(-4 + x)
-6 + 7x = 10 + 8x + (-4 * -1 + x * -1)
-6 + 7x = 10 + 8x + (4 + -1x)

Reorder the terms:
-6 + 7x = 10 + 4 + 8x + -1x

Combine like terms: 10 + 4 = 14
-6 + 7x = 14 + 8x + -1x

Combine like terms: 8x + -1x = 7x
-6 + 7x = 14 + 7x

Add '-7x' to each side of the equation.
-6 + 7x + -7x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 0 = 14 + 7x + -7x
-6 = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 = 14 + 0
-6 = 14

Solving
-6 = 14

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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