5x+4(x-10)=61(x-1)

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Solution for 5x+4(x-10)=61(x-1) equation:


Simplifying
5x + 4(x + -10) = 61(x + -1)

Reorder the terms:
5x + 4(-10 + x) = 61(x + -1)
5x + (-10 * 4 + x * 4) = 61(x + -1)
5x + (-40 + 4x) = 61(x + -1)

Reorder the terms:
-40 + 5x + 4x = 61(x + -1)

Combine like terms: 5x + 4x = 9x
-40 + 9x = 61(x + -1)

Reorder the terms:
-40 + 9x = 61(-1 + x)
-40 + 9x = (-1 * 61 + x * 61)
-40 + 9x = (-61 + 61x)

Solving
-40 + 9x = -61 + 61x

Solving for variable 'x'.

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

Add '-61x' to each side of the equation.
-40 + 9x + -61x = -61 + 61x + -61x

Combine like terms: 9x + -61x = -52x
-40 + -52x = -61 + 61x + -61x

Combine like terms: 61x + -61x = 0
-40 + -52x = -61 + 0
-40 + -52x = -61

Add '40' to each side of the equation.
-40 + 40 + -52x = -61 + 40

Combine like terms: -40 + 40 = 0
0 + -52x = -61 + 40
-52x = -61 + 40

Combine like terms: -61 + 40 = -21
-52x = -21

Divide each side by '-52'.
x = 0.4038461538

Simplifying
x = 0.4038461538

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