10(x-4)=3x-61

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Solution for 10(x-4)=3x-61 equation:


Simplifying
10(x + -4) = 3x + -61

Reorder the terms:
10(-4 + x) = 3x + -61
(-4 * 10 + x * 10) = 3x + -61
(-40 + 10x) = 3x + -61

Reorder the terms:
-40 + 10x = -61 + 3x

Solving
-40 + 10x = -61 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-40 + 10x + -3x = -61 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-40 + 7x = -61 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 7x = -61 + 0
-40 + 7x = -61

Add '40' to each side of the equation.
-40 + 40 + 7x = -61 + 40

Combine like terms: -40 + 40 = 0
0 + 7x = -61 + 40
7x = -61 + 40

Combine like terms: -61 + 40 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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