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

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


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

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

Combine like terms: -2 + 5 = 3
3 + 3x = 2(5x + -4)

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

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

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

Combine like terms: 10x + -10x = 0
3 + -7x = -8 + 0
3 + -7x = -8

Add '-3' to each side of the equation.
3 + -3 + -7x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -8 + -3
-7x = -8 + -3

Combine like terms: -8 + -3 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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