2(5x-1)-7=2(x+3)

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Solution for 2(5x-1)-7=2(x+3) equation:


Simplifying
2(5x + -1) + -7 = 2(x + 3)

Reorder the terms:
2(-1 + 5x) + -7 = 2(x + 3)
(-1 * 2 + 5x * 2) + -7 = 2(x + 3)
(-2 + 10x) + -7 = 2(x + 3)

Reorder the terms:
-2 + -7 + 10x = 2(x + 3)

Combine like terms: -2 + -7 = -9
-9 + 10x = 2(x + 3)

Reorder the terms:
-9 + 10x = 2(3 + x)
-9 + 10x = (3 * 2 + x * 2)
-9 + 10x = (6 + 2x)

Solving
-9 + 10x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 10x + -2x = 6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-9 + 8x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 8x = 6 + 0
-9 + 8x = 6

Add '9' to each side of the equation.
-9 + 9 + 8x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 6 + 9
8x = 6 + 9

Combine like terms: 6 + 9 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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