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

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


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

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

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

Combine like terms: -2 + 3 = 1
1 + 2x = 5(2x + -3)

Reorder the terms:
1 + 2x = 5(-3 + 2x)
1 + 2x = (-3 * 5 + 2x * 5)
1 + 2x = (-15 + 10x)

Solving
1 + 2x = -15 + 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.
1 + 2x + -10x = -15 + 10x + -10x

Combine like terms: 2x + -10x = -8x
1 + -8x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -8x = -15 + 0
1 + -8x = -15

Add '-1' to each side of the equation.
1 + -1 + -8x = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = -15 + -1
-8x = -15 + -1

Combine like terms: -15 + -1 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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