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

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


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

Reorder the terms:
2(-5 + x) + -3(7 + -4x) = 7x + -3
(-5 * 2 + x * 2) + -3(7 + -4x) = 7x + -3
(-10 + 2x) + -3(7 + -4x) = 7x + -3
-10 + 2x + (7 * -3 + -4x * -3) = 7x + -3
-10 + 2x + (-21 + 12x) = 7x + -3

Reorder the terms:
-10 + -21 + 2x + 12x = 7x + -3

Combine like terms: -10 + -21 = -31
-31 + 2x + 12x = 7x + -3

Combine like terms: 2x + 12x = 14x
-31 + 14x = 7x + -3

Reorder the terms:
-31 + 14x = -3 + 7x

Solving
-31 + 14x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-31 + 14x + -7x = -3 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-31 + 7x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-31 + 7x = -3 + 0
-31 + 7x = -3

Add '31' to each side of the equation.
-31 + 31 + 7x = -3 + 31

Combine like terms: -31 + 31 = 0
0 + 7x = -3 + 31
7x = -3 + 31

Combine like terms: -3 + 31 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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