3*(2x-5)+7=4*(3-x)+3

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Solution for 3*(2x-5)+7=4*(3-x)+3 equation:


Simplifying
3(2x + -5) + 7 = 4(3 + -1x) + 3

Reorder the terms:
3(-5 + 2x) + 7 = 4(3 + -1x) + 3
(-5 * 3 + 2x * 3) + 7 = 4(3 + -1x) + 3
(-15 + 6x) + 7 = 4(3 + -1x) + 3

Reorder the terms:
-15 + 7 + 6x = 4(3 + -1x) + 3

Combine like terms: -15 + 7 = -8
-8 + 6x = 4(3 + -1x) + 3
-8 + 6x = (3 * 4 + -1x * 4) + 3
-8 + 6x = (12 + -4x) + 3

Reorder the terms:
-8 + 6x = 12 + 3 + -4x

Combine like terms: 12 + 3 = 15
-8 + 6x = 15 + -4x

Solving
-8 + 6x = 15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 6x + 4x = 15 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-8 + 10x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 10x = 15 + 0
-8 + 10x = 15

Add '8' to each side of the equation.
-8 + 8 + 10x = 15 + 8

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

Combine like terms: 15 + 8 = 23
10x = 23

Divide each side by '10'.
x = 2.3

Simplifying
x = 2.3

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