5(x-2)+3=7-3(2x+1)

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Solution for 5(x-2)+3=7-3(2x+1) equation:


Simplifying
5(x + -2) + 3 = 7 + -3(2x + 1)

Reorder the terms:
5(-2 + x) + 3 = 7 + -3(2x + 1)
(-2 * 5 + x * 5) + 3 = 7 + -3(2x + 1)
(-10 + 5x) + 3 = 7 + -3(2x + 1)

Reorder the terms:
-10 + 3 + 5x = 7 + -3(2x + 1)

Combine like terms: -10 + 3 = -7
-7 + 5x = 7 + -3(2x + 1)

Reorder the terms:
-7 + 5x = 7 + -3(1 + 2x)
-7 + 5x = 7 + (1 * -3 + 2x * -3)
-7 + 5x = 7 + (-3 + -6x)

Combine like terms: 7 + -3 = 4
-7 + 5x = 4 + -6x

Solving
-7 + 5x = 4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7 + 5x + 6x = 4 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-7 + 11x = 4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 11x = 4 + 0
-7 + 11x = 4

Add '7' to each side of the equation.
-7 + 7 + 11x = 4 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = 4 + 7
11x = 4 + 7

Combine like terms: 4 + 7 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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