12+5(7-6x)=7-10x

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Solution for 12+5(7-6x)=7-10x equation:


Simplifying
12 + 5(7 + -6x) = 7 + -10x
12 + (7 * 5 + -6x * 5) = 7 + -10x
12 + (35 + -30x) = 7 + -10x

Combine like terms: 12 + 35 = 47
47 + -30x = 7 + -10x

Solving
47 + -30x = 7 + -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.
47 + -30x + 10x = 7 + -10x + 10x

Combine like terms: -30x + 10x = -20x
47 + -20x = 7 + -10x + 10x

Combine like terms: -10x + 10x = 0
47 + -20x = 7 + 0
47 + -20x = 7

Add '-47' to each side of the equation.
47 + -47 + -20x = 7 + -47

Combine like terms: 47 + -47 = 0
0 + -20x = 7 + -47
-20x = 7 + -47

Combine like terms: 7 + -47 = -40
-20x = -40

Divide each side by '-20'.
x = 2

Simplifying
x = 2

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