5(x+6)-2x=4(x+10)

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Solution for 5(x+6)-2x=4(x+10) equation:


Simplifying
5(x + 6) + -2x = 4(x + 10)

Reorder the terms:
5(6 + x) + -2x = 4(x + 10)
(6 * 5 + x * 5) + -2x = 4(x + 10)
(30 + 5x) + -2x = 4(x + 10)

Combine like terms: 5x + -2x = 3x
30 + 3x = 4(x + 10)

Reorder the terms:
30 + 3x = 4(10 + x)
30 + 3x = (10 * 4 + x * 4)
30 + 3x = (40 + 4x)

Solving
30 + 3x = 40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 3x + -4x = 40 + 4x + -4x

Combine like terms: 3x + -4x = -1x
30 + -1x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -1x = 40 + 0
30 + -1x = 40

Add '-30' to each side of the equation.
30 + -30 + -1x = 40 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 40 + -30
-1x = 40 + -30

Combine like terms: 40 + -30 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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