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

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


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

Reorder the terms:
-7(-2 + x) + 5(3 + -1x) = 4x + -3
(-2 * -7 + x * -7) + 5(3 + -1x) = 4x + -3
(14 + -7x) + 5(3 + -1x) = 4x + -3
14 + -7x + (3 * 5 + -1x * 5) = 4x + -3
14 + -7x + (15 + -5x) = 4x + -3

Reorder the terms:
14 + 15 + -7x + -5x = 4x + -3

Combine like terms: 14 + 15 = 29
29 + -7x + -5x = 4x + -3

Combine like terms: -7x + -5x = -12x
29 + -12x = 4x + -3

Reorder the terms:
29 + -12x = -3 + 4x

Solving
29 + -12x = -3 + 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.
29 + -12x + -4x = -3 + 4x + -4x

Combine like terms: -12x + -4x = -16x
29 + -16x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
29 + -16x = -3 + 0
29 + -16x = -3

Add '-29' to each side of the equation.
29 + -29 + -16x = -3 + -29

Combine like terms: 29 + -29 = 0
0 + -16x = -3 + -29
-16x = -3 + -29

Combine like terms: -3 + -29 = -32
-16x = -32

Divide each side by '-16'.
x = 2

Simplifying
x = 2

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