4x+7=91-10x

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Solution for 4x+7=91-10x equation:


Simplifying
4x + 7 = 91 + -10x

Reorder the terms:
7 + 4x = 91 + -10x

Solving
7 + 4x = 91 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.
7 + 4x + 10x = 91 + -10x + 10x

Combine like terms: 4x + 10x = 14x
7 + 14x = 91 + -10x + 10x

Combine like terms: -10x + 10x = 0
7 + 14x = 91 + 0
7 + 14x = 91

Add '-7' to each side of the equation.
7 + -7 + 14x = 91 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 91 + -7
14x = 91 + -7

Combine like terms: 91 + -7 = 84
14x = 84

Divide each side by '14'.
x = 6

Simplifying
x = 6

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