4x+3+2(x-1)=5(x+2)

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Solution for 4x+3+2(x-1)=5(x+2) equation:


Simplifying
4x + 3 + 2(x + -1) = 5(x + 2)

Reorder the terms:
4x + 3 + 2(-1 + x) = 5(x + 2)
4x + 3 + (-1 * 2 + x * 2) = 5(x + 2)
4x + 3 + (-2 + 2x) = 5(x + 2)

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

Combine like terms: 3 + -2 = 1
1 + 4x + 2x = 5(x + 2)

Combine like terms: 4x + 2x = 6x
1 + 6x = 5(x + 2)

Reorder the terms:
1 + 6x = 5(2 + x)
1 + 6x = (2 * 5 + x * 5)
1 + 6x = (10 + 5x)

Solving
1 + 6x = 10 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
1 + 6x + -5x = 10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
1 + 1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 1x = 10 + 0
1 + 1x = 10

Add '-1' to each side of the equation.
1 + -1 + 1x = 10 + -1

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

Combine like terms: 10 + -1 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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