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

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


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

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

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

Reorder the terms:
-14 + 3 + 2x + -3x = 4x + 3

Combine like terms: -14 + 3 = -11
-11 + 2x + -3x = 4x + 3

Combine like terms: 2x + -3x = -1x
-11 + -1x = 4x + 3

Reorder the terms:
-11 + -1x = 3 + 4x

Solving
-11 + -1x = 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.
-11 + -1x + -4x = 3 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-11 + -5x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -5x = 3 + 0
-11 + -5x = 3

Add '11' to each side of the equation.
-11 + 11 + -5x = 3 + 11

Combine like terms: -11 + 11 = 0
0 + -5x = 3 + 11
-5x = 3 + 11

Combine like terms: 3 + 11 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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