x+7=2(5x-3)

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


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

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

Reorder the terms:
7 + x = 2(-3 + 5x)
7 + x = (-3 * 2 + 5x * 2)
7 + x = (-6 + 10x)

Solving
7 + x = -6 + 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.
7 + x + -10x = -6 + 10x + -10x

Combine like terms: x + -10x = -9x
7 + -9x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -9x = -6 + 0
7 + -9x = -6

Add '-7' to each side of the equation.
7 + -7 + -9x = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = -6 + -7
-9x = -6 + -7

Combine like terms: -6 + -7 = -13
-9x = -13

Divide each side by '-9'.
x = 1.444444444

Simplifying
x = 1.444444444

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