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

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


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

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

Reorder the terms:
-7 + 5 + 7x = 2(3 + -4x) + 7

Combine like terms: -7 + 5 = -2
-2 + 7x = 2(3 + -4x) + 7
-2 + 7x = (3 * 2 + -4x * 2) + 7
-2 + 7x = (6 + -8x) + 7

Reorder the terms:
-2 + 7x = 6 + 7 + -8x

Combine like terms: 6 + 7 = 13
-2 + 7x = 13 + -8x

Solving
-2 + 7x = 13 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-2 + 7x + 8x = 13 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-2 + 15x = 13 + -8x + 8x

Combine like terms: -8x + 8x = 0
-2 + 15x = 13 + 0
-2 + 15x = 13

Add '2' to each side of the equation.
-2 + 2 + 15x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 15x = 13 + 2
15x = 13 + 2

Combine like terms: 13 + 2 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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