10x-43=39+7(x-10)

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Solution for 10x-43=39+7(x-10) equation:


Simplifying
10x + -43 = 39 + 7(x + -10)

Reorder the terms:
-43 + 10x = 39 + 7(x + -10)

Reorder the terms:
-43 + 10x = 39 + 7(-10 + x)
-43 + 10x = 39 + (-10 * 7 + x * 7)
-43 + 10x = 39 + (-70 + 7x)

Combine like terms: 39 + -70 = -31
-43 + 10x = -31 + 7x

Solving
-43 + 10x = -31 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-43 + 10x + -7x = -31 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-43 + 3x = -31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-43 + 3x = -31 + 0
-43 + 3x = -31

Add '43' to each side of the equation.
-43 + 43 + 3x = -31 + 43

Combine like terms: -43 + 43 = 0
0 + 3x = -31 + 43
3x = -31 + 43

Combine like terms: -31 + 43 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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