2(x-1)+4=10(x+3)

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Solution for 2(x-1)+4=10(x+3) equation: 


Simplifying
2(x + -1) + 4 = 10(x + 3)

Reorder the terms:
2(-1 + x) + 4 = 10(x + 3)
(-1 * 2 + x * 2) + 4 = 10(x + 3)
(-2 + 2x) + 4 = 10(x + 3)

Reorder the terms:
-2 + 4 + 2x = 10(x + 3)

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

Reorder the terms:
2 + 2x = 10(3 + x)
2 + 2x = (3 * 10 + x * 10)
2 + 2x = (30 + 10x)

Solving
2 + 2x = 30 + 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.
2 + 2x + -10x = 30 + 10x + -10x

Combine like terms: 2x + -10x = -8x
2 + -8x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -8x = 30 + 0
2 + -8x = 30

Add '-2' to each side of the equation.
2 + -2 + -8x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = 30 + -2
-8x = 30 + -2

Combine like terms: 30 + -2 = 28
-8x = 28

Divide each side by '-8'.
x = -3.5

Simplifying
x = -3.5

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