6*(3x-1)-7*(2x-1)=(x+9)*4-35

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Solution for 6*(3x-1)-7*(2x-1)=(x+9)*4-35 equation:


Simplifying
6(3x + -1) + -7(2x + -1) = (x + 9) * 4 + -35

Reorder the terms:
6(-1 + 3x) + -7(2x + -1) = (x + 9) * 4 + -35
(-1 * 6 + 3x * 6) + -7(2x + -1) = (x + 9) * 4 + -35
(-6 + 18x) + -7(2x + -1) = (x + 9) * 4 + -35

Reorder the terms:
-6 + 18x + -7(-1 + 2x) = (x + 9) * 4 + -35
-6 + 18x + (-1 * -7 + 2x * -7) = (x + 9) * 4 + -35
-6 + 18x + (7 + -14x) = (x + 9) * 4 + -35

Reorder the terms:
-6 + 7 + 18x + -14x = (x + 9) * 4 + -35

Combine like terms: -6 + 7 = 1
1 + 18x + -14x = (x + 9) * 4 + -35

Combine like terms: 18x + -14x = 4x
1 + 4x = (x + 9) * 4 + -35

Reorder the terms:
1 + 4x = (9 + x) * 4 + -35

Reorder the terms for easier multiplication:
1 + 4x = 4(9 + x) + -35
1 + 4x = (9 * 4 + x * 4) + -35
1 + 4x = (36 + 4x) + -35

Reorder the terms:
1 + 4x = 36 + -35 + 4x

Combine like terms: 36 + -35 = 1
1 + 4x = 1 + 4x

Add '-1' to each side of the equation.
1 + -1 + 4x = 1 + -1 + 4x

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

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

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

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

Combine like terms: 4x + -4x = 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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