7x+3-10x=-2(x-2)+3

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Solution for 7x+3-10x=-2(x-2)+3 equation:


Simplifying
7x + 3 + -10x = -2(x + -2) + 3

Reorder the terms:
3 + 7x + -10x = -2(x + -2) + 3

Combine like terms: 7x + -10x = -3x
3 + -3x = -2(x + -2) + 3

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

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

Combine like terms: 4 + 3 = 7
3 + -3x = 7 + -2x

Solving
3 + -3x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + -3x + 2x = 7 + -2x + 2x

Combine like terms: -3x + 2x = -1x
3 + -1x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -1x = 7 + 0
3 + -1x = 7

Add '-3' to each side of the equation.
3 + -3 + -1x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 7 + -3
-1x = 7 + -3

Combine like terms: 7 + -3 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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