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

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


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

Reorder the terms:
4(-7 + 4x) + -1(3x + -1) * 2 = -5
(-7 * 4 + 4x * 4) + -1(3x + -1) * 2 = -5
(-28 + 16x) + -1(3x + -1) * 2 = -5

Reorder the terms:
-28 + 16x + -1(-1 + 3x) * 2 = -5

Reorder the terms for easier multiplication:
-28 + 16x + -1 * 2(-1 + 3x) = -5

Multiply -1 * 2
-28 + 16x + -2(-1 + 3x) = -5
-28 + 16x + (-1 * -2 + 3x * -2) = -5
-28 + 16x + (2 + -6x) = -5

Reorder the terms:
-28 + 2 + 16x + -6x = -5

Combine like terms: -28 + 2 = -26
-26 + 16x + -6x = -5

Combine like terms: 16x + -6x = 10x
-26 + 10x = -5

Solving
-26 + 10x = -5

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 10x = -5 + 26

Combine like terms: -26 + 26 = 0
0 + 10x = -5 + 26
10x = -5 + 26

Combine like terms: -5 + 26 = 21
10x = 21

Divide each side by '10'.
x = 2.1

Simplifying
x = 2.1

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