4(x+5)+3(x-6)=7x+2

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Solution for 4(x+5)+3(x-6)=7x+2 equation:


Simplifying
4(x + 5) + 3(x + -6) = 7x + 2

Reorder the terms:
4(5 + x) + 3(x + -6) = 7x + 2
(5 * 4 + x * 4) + 3(x + -6) = 7x + 2
(20 + 4x) + 3(x + -6) = 7x + 2

Reorder the terms:
20 + 4x + 3(-6 + x) = 7x + 2
20 + 4x + (-6 * 3 + x * 3) = 7x + 2
20 + 4x + (-18 + 3x) = 7x + 2

Reorder the terms:
20 + -18 + 4x + 3x = 7x + 2

Combine like terms: 20 + -18 = 2
2 + 4x + 3x = 7x + 2

Combine like terms: 4x + 3x = 7x
2 + 7x = 7x + 2

Reorder the terms:
2 + 7x = 2 + 7x

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

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

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

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

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

Combine like terms: 7x + -7x = 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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