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

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Solution for 4(2x-3)+5=3-2(1-x)+7 equation:


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

Reorder the terms:
4(-3 + 2x) + 5 = 3 + -2(1 + -1x) + 7
(-3 * 4 + 2x * 4) + 5 = 3 + -2(1 + -1x) + 7
(-12 + 8x) + 5 = 3 + -2(1 + -1x) + 7

Reorder the terms:
-12 + 5 + 8x = 3 + -2(1 + -1x) + 7

Combine like terms: -12 + 5 = -7
-7 + 8x = 3 + -2(1 + -1x) + 7
-7 + 8x = 3 + (1 * -2 + -1x * -2) + 7
-7 + 8x = 3 + (-2 + 2x) + 7

Reorder the terms:
-7 + 8x = 3 + -2 + 7 + 2x

Combine like terms: 3 + -2 = 1
-7 + 8x = 1 + 7 + 2x

Combine like terms: 1 + 7 = 8
-7 + 8x = 8 + 2x

Solving
-7 + 8x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 8x + -2x = 8 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-7 + 6x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 6x = 8 + 0
-7 + 6x = 8

Add '7' to each side of the equation.
-7 + 7 + 6x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 8 + 7
6x = 8 + 7

Combine like terms: 8 + 7 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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