7x+10=3(x-2)+4(x-1)

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Solution for 7x+10=3(x-2)+4(x-1) equation: 


Simplifying
7x + 10 = 3(x + -2) + 4(x + -1)

Reorder the terms:
10 + 7x = 3(x + -2) + 4(x + -1)

Reorder the terms:
10 + 7x = 3(-2 + x) + 4(x + -1)
10 + 7x = (-2 * 3 + x * 3) + 4(x + -1)
10 + 7x = (-6 + 3x) + 4(x + -1)

Reorder the terms:
10 + 7x = -6 + 3x + 4(-1 + x)
10 + 7x = -6 + 3x + (-1 * 4 + x * 4)
10 + 7x = -6 + 3x + (-4 + 4x)

Reorder the terms:
10 + 7x = -6 + -4 + 3x + 4x

Combine like terms: -6 + -4 = -10
10 + 7x = -10 + 3x + 4x

Combine like terms: 3x + 4x = 7x
10 + 7x = -10 + 7x

Add '-7x' to each side of the equation.
10 + 7x + -7x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + 0 = -10 + 7x + -7x
10 = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 = -10 + 0
10 = -10

Solving
10 = -10

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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