2(3x+5)=10x+7

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Solution for 2(3x+5)=10x+7 equation:


Simplifying
2(3x + 5) = 10x + 7

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

Reorder the terms:
10 + 6x = 7 + 10x

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

Combine like terms: 6x + -10x = -4x
10 + -4x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -4x = 7 + 0
10 + -4x = 7

Add '-10' to each side of the equation.
10 + -10 + -4x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 7 + -10
-4x = 7 + -10

Combine like terms: 7 + -10 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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