3x+7=2(5x-4)

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Solution for 3x+7=2(5x-4) equation: 


Simplifying
3x + 7 = 2(5x + -4)

Reorder the terms:
7 + 3x = 2(5x + -4)

Reorder the terms:
7 + 3x = 2(-4 + 5x)
7 + 3x = (-4 * 2 + 5x * 2)
7 + 3x = (-8 + 10x)

Solving
7 + 3x = -8 + 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 + 3x + -10x = -8 + 10x + -10x

Combine like terms: 3x + -10x = -7x
7 + -7x = -8 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -7x = -8 + 0
7 + -7x = -8

Add '-7' to each side of the equation.
7 + -7 + -7x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = -8 + -7
-7x = -8 + -7

Combine like terms: -8 + -7 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143

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