4+5x-3=7+3(x-1)

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Solution for 4+5x-3=7+3(x-1) equation:


Simplifying
4 + 5x + -3 = 7 + 3(x + -1)

Reorder the terms:
4 + -3 + 5x = 7 + 3(x + -1)

Combine like terms: 4 + -3 = 1
1 + 5x = 7 + 3(x + -1)

Reorder the terms:
1 + 5x = 7 + 3(-1 + x)
1 + 5x = 7 + (-1 * 3 + x * 3)
1 + 5x = 7 + (-3 + 3x)

Combine like terms: 7 + -3 = 4
1 + 5x = 4 + 3x

Solving
1 + 5x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 5x + -3x = 4 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + 2x = 4 + 0
1 + 2x = 4

Add '-1' to each side of the equation.
1 + -1 + 2x = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 4 + -1
2x = 4 + -1

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

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